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Finding the Fourth Proportional to 708.60, 1,064.10 and 466.20

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Solution

The fourth proportional to 708.60, 1,064.10 and 466.20 is: 700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.60 : 1,064.10 = 466.20 : x
  2. Step 2: Convert to fraction form
    708.60/1,064.10 = 466.20/x
  3. Step 3: Cross multiply
    708.60x = 1,064.10 × 466.20
  4. Step 4: Simplify right side
    708.60x = 496,083.42
  5. Step 5: Solve for x
    x = 496,083.42/708.60
  6. Step 6: Final answer
    x = 700.09

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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.