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Finding the Fourth Proportional to 972.91, 1,459.72 and 425.15

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Solution

The fourth proportional to 972.91, 1,459.72 and 425.15 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.91 : 1,459.72 = 425.15 : x
  2. Step 2: Convert to fraction form
    972.91/1,459.72 = 425.15/x
  3. Step 3: Cross multiply
    972.91x = 1,459.72 × 425.15
  4. Step 4: Simplify right side
    972.91x = 620,598.66
  5. Step 5: Solve for x
    x = 620,598.66/972.91
  6. Step 6: Final answer
    x = 637.88

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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.