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Finding the Fourth Proportional to 875.81, 1,314.17 and 567.58

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Solution

The fourth proportional to 875.81, 1,314.17 and 567.58 is: 851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.81 : 1,314.17 = 567.58 : x
  2. Step 2: Convert to fraction form
    875.81/1,314.17 = 567.58/x
  3. Step 3: Cross multiply
    875.81x = 1,314.17 × 567.58
  4. Step 4: Simplify right side
    875.81x = 745,896.61
  5. Step 5: Solve for x
    x = 745,896.61/875.81
  6. Step 6: Final answer
    x = 851.66

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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.