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Finding the Fourth Proportional to 1,432.17, 2,147.04 and 566.01

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Solution

The fourth proportional to 1,432.17, 2,147.04 and 566.01 is: 848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.17 : 2,147.04 = 566.01 : x
  2. Step 2: Convert to fraction form
    1,432.17/2,147.04 = 566.01/x
  3. Step 3: Cross multiply
    1,432.17x = 2,147.04 × 566.01
  4. Step 4: Simplify right side
    1,432.17x = 1,215,246.11
  5. Step 5: Solve for x
    x = 1,215,246.11/1,432.17
  6. Step 6: Final answer
    x = 848.53

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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.