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Finding the Fourth Proportional to 720.83, 1,079.82 and 476.62

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Solution

The fourth proportional to 720.83, 1,079.82 and 476.62 is: 713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.83 : 1,079.82 = 476.62 : x
  2. Step 2: Convert to fraction form
    720.83/1,079.82 = 476.62/x
  3. Step 3: Cross multiply
    720.83x = 1,079.82 × 476.62
  4. Step 4: Simplify right side
    720.83x = 514,658.41
  5. Step 5: Solve for x
    x = 514,658.41/720.83
  6. Step 6: Final answer
    x = 713.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.