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Finding the Fourth Proportional to 875.29, 1,207.86 and 526.17

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Solution

The fourth proportional to 875.29, 1,207.86 and 526.17 is: 726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.29 : 1,207.86 = 526.17 : x
  2. Step 2: Convert to fraction form
    875.29/1,207.86 = 526.17/x
  3. Step 3: Cross multiply
    875.29x = 1,207.86 × 526.17
  4. Step 4: Simplify right side
    875.29x = 635,539.70
  5. Step 5: Solve for x
    x = 635,539.70/875.29
  6. Step 6: Final answer
    x = 726.09

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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.