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Finding the Fourth Proportional to 872.61, 1,308.74 and 507.12

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Solution

The fourth proportional to 872.61, 1,308.74 and 507.12 is: 760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.61 : 1,308.74 = 507.12 : x
  2. Step 2: Convert to fraction form
    872.61/1,308.74 = 507.12/x
  3. Step 3: Cross multiply
    872.61x = 1,308.74 × 507.12
  4. Step 4: Simplify right side
    872.61x = 663,685.69
  5. Step 5: Solve for x
    x = 663,685.69/872.61
  6. Step 6: Final answer
    x = 760.58

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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.