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Finding the Fourth Proportional to 710.60, 1,063.68 and 450.86

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Solution

The fourth proportional to 710.60, 1,063.68 and 450.86 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.60 : 1,063.68 = 450.86 : x
  2. Step 2: Convert to fraction form
    710.60/1,063.68 = 450.86/x
  3. Step 3: Cross multiply
    710.60x = 1,063.68 × 450.86
  4. Step 4: Simplify right side
    710.60x = 479,570.76
  5. Step 5: Solve for x
    x = 479,570.76/710.60
  6. Step 6: Final answer
    x = 674.88

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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.