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Finding the Fourth Proportional to 972.08, 1,454.64 and 906.91

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Solution

The fourth proportional to 972.08, 1,454.64 and 906.91 is: 1,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.08 : 1,454.64 = 906.91 : x
  2. Step 2: Convert to fraction form
    972.08/1,454.64 = 906.91/x
  3. Step 3: Cross multiply
    972.08x = 1,454.64 × 906.91
  4. Step 4: Simplify right side
    972.08x = 1,319,233.81
  5. Step 5: Solve for x
    x = 1,319,233.81/972.08
  6. Step 6: Final answer
    x = 1,357.12

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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.