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Finding the Fourth Proportional to 972.61, 1,459.12 and 314.52

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Solution

The fourth proportional to 972.61, 1,459.12 and 314.52 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.61 : 1,459.12 = 314.52 : x
  2. Step 2: Convert to fraction form
    972.61/1,459.12 = 314.52/x
  3. Step 3: Cross multiply
    972.61x = 1,459.12 × 314.52
  4. Step 4: Simplify right side
    972.61x = 458,922.42
  5. Step 5: Solve for x
    x = 458,922.42/972.61
  6. Step 6: Final answer
    x = 471.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.