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Finding the Fourth Proportional to 1,590.78, 2,386.18 and 495.22

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Solution

The fourth proportional to 1,590.78, 2,386.18 and 495.22 is: 742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.78 : 2,386.18 = 495.22 : x
  2. Step 2: Convert to fraction form
    1,590.78/2,386.18 = 495.22/x
  3. Step 3: Cross multiply
    1,590.78x = 2,386.18 × 495.22
  4. Step 4: Simplify right side
    1,590.78x = 1,181,684.06
  5. Step 5: Solve for x
    x = 1,181,684.06/1,590.78
  6. Step 6: Final answer
    x = 742.83

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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.