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Finding the Fourth Proportional to 1,223.38, 1,688.52 and 781.18

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Solution

The fourth proportional to 1,223.38, 1,688.52 and 781.18 is: 1,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.38 : 1,688.52 = 781.18 : x
  2. Step 2: Convert to fraction form
    1,223.38/1,688.52 = 781.18/x
  3. Step 3: Cross multiply
    1,223.38x = 1,688.52 × 781.18
  4. Step 4: Simplify right side
    1,223.38x = 1,319,038.05
  5. Step 5: Solve for x
    x = 1,319,038.05/1,223.38
  6. Step 6: Final answer
    x = 1,078.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.