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Finding the Fourth Proportional to 875.30, 1,207.41 and 560.45

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Solution

The fourth proportional to 875.30, 1,207.41 and 560.45 is: 773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.30 : 1,207.41 = 560.45 : x
  2. Step 2: Convert to fraction form
    875.30/1,207.41 = 560.45/x
  3. Step 3: Cross multiply
    875.30x = 1,207.41 × 560.45
  4. Step 4: Simplify right side
    875.30x = 676,695.95
  5. Step 5: Solve for x
    x = 676,695.95/875.30
  6. Step 6: Final answer
    x = 773.10

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