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Finding the Fourth Proportional to 971.28, 1,459.20 and 647.28

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Solution

The fourth proportional to 971.28, 1,459.20 and 647.28 is: 972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.28 : 1,459.20 = 647.28 : x
  2. Step 2: Convert to fraction form
    971.28/1,459.20 = 647.28/x
  3. Step 3: Cross multiply
    971.28x = 1,459.20 × 647.28
  4. Step 4: Simplify right side
    971.28x = 944,510.98
  5. Step 5: Solve for x
    x = 944,510.98/971.28
  6. Step 6: Final answer
    x = 972.44

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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.