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Finding the Fourth Proportional to 742.16, 1,022.55 and 702.50

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Solution

The fourth proportional to 742.16, 1,022.55 and 702.50 is: 967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.16 : 1,022.55 = 702.50 : x
  2. Step 2: Convert to fraction form
    742.16/1,022.55 = 702.50/x
  3. Step 3: Cross multiply
    742.16x = 1,022.55 × 702.50
  4. Step 4: Simplify right side
    742.16x = 718,341.38
  5. Step 5: Solve for x
    x = 718,341.38/742.16
  6. Step 6: Final answer
    x = 967.91

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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.