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Finding the Fourth Proportional to 902.90, 1,352.46 and 468.74

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Solution

The fourth proportional to 902.90, 1,352.46 and 468.74 is: 702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.90 : 1,352.46 = 468.74 : x
  2. Step 2: Convert to fraction form
    902.90/1,352.46 = 468.74/x
  3. Step 3: Cross multiply
    902.90x = 1,352.46 × 468.74
  4. Step 4: Simplify right side
    902.90x = 633,952.10
  5. Step 5: Solve for x
    x = 633,952.10/902.90
  6. Step 6: Final answer
    x = 702.13

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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.