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Finding the Fourth Proportional to 1,432.17, 2,147.04 and 554.18

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Solution

The fourth proportional to 1,432.17, 2,147.04 and 554.18 is: 830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.17 : 2,147.04 = 554.18 : x
  2. Step 2: Convert to fraction form
    1,432.17/2,147.04 = 554.18/x
  3. Step 3: Cross multiply
    1,432.17x = 2,147.04 × 554.18
  4. Step 4: Simplify right side
    1,432.17x = 1,189,835.89
  5. Step 5: Solve for x
    x = 1,189,835.89/1,432.17
  6. Step 6: Final answer
    x = 830.79

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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.