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Finding the Fourth Proportional to 1,590.71, 2,386.22 and 495.15

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Solution

The fourth proportional to 1,590.71, 2,386.22 and 495.15 is: 742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.71 : 2,386.22 = 495.15 : x
  2. Step 2: Convert to fraction form
    1,590.71/2,386.22 = 495.15/x
  3. Step 3: Cross multiply
    1,590.71x = 2,386.22 × 495.15
  4. Step 4: Simplify right side
    1,590.71x = 1,181,525.41
  5. Step 5: Solve for x
    x = 1,181,525.41/1,590.71
  6. Step 6: Final answer
    x = 742.77

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.