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Finding the Fourth Proportional to 642.90, 966.15 and 563.70

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Solution

The fourth proportional to 642.90, 966.15 and 563.70 is: 847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.90 : 966.15 = 563.70 : x
  2. Step 2: Convert to fraction form
    642.90/966.15 = 563.70/x
  3. Step 3: Cross multiply
    642.90x = 966.15 × 563.70
  4. Step 4: Simplify right side
    642.90x = 544,618.76
  5. Step 5: Solve for x
    x = 544,618.76/642.90
  6. Step 6: Final answer
    x = 847.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.