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Finding the Fourth Proportional to 875.54, 1,207.17 and 709.14

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Solution

The fourth proportional to 875.54, 1,207.17 and 709.14 is: 977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.54 : 1,207.17 = 709.14 : x
  2. Step 2: Convert to fraction form
    875.54/1,207.17 = 709.14/x
  3. Step 3: Cross multiply
    875.54x = 1,207.17 × 709.14
  4. Step 4: Simplify right side
    875.54x = 856,052.53
  5. Step 5: Solve for x
    x = 856,052.53/875.54
  6. Step 6: Final answer
    x = 977.74

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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.