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Finding the Fourth Proportional to 720.20, 1,079.10 and 476.60

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Solution

The fourth proportional to 720.20, 1,079.10 and 476.60 is: 714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.20 : 1,079.10 = 476.60 : x
  2. Step 2: Convert to fraction form
    720.20/1,079.10 = 476.60/x
  3. Step 3: Cross multiply
    720.20x = 1,079.10 × 476.60
  4. Step 4: Simplify right side
    720.20x = 514,299.06
  5. Step 5: Solve for x
    x = 514,299.06/720.20
  6. Step 6: Final answer
    x = 714.11

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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.