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Finding the Fourth Proportional to 985.73, 1,478.60 and 710.53

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Solution

The fourth proportional to 985.73, 1,478.60 and 710.53 is: 1,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.73 : 1,478.60 = 710.53 : x
  2. Step 2: Convert to fraction form
    985.73/1,478.60 = 710.53/x
  3. Step 3: Cross multiply
    985.73x = 1,478.60 × 710.53
  4. Step 4: Simplify right side
    985.73x = 1,050,589.80
  5. Step 5: Solve for x
    x = 1,050,589.80/985.73
  6. Step 6: Final answer
    x = 1,065.80

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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.