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Finding the Fourth Proportional to 1,590.96, 2,386.50 and 495.30

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Solution

The fourth proportional to 1,590.96, 2,386.50 and 495.30 is: 742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.96 : 2,386.50 = 495.30 : x
  2. Step 2: Convert to fraction form
    1,590.96/2,386.50 = 495.30/x
  3. Step 3: Cross multiply
    1,590.96x = 2,386.50 × 495.30
  4. Step 4: Simplify right side
    1,590.96x = 1,182,033.45
  5. Step 5: Solve for x
    x = 1,182,033.45/1,590.96
  6. Step 6: Final answer
    x = 742.97

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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.