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Finding the Fourth Proportional to 985.72, 1,478.99 and 552.87

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Solution

The fourth proportional to 985.72, 1,478.99 and 552.87 is: 829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.72 : 1,478.99 = 552.87 : x
  2. Step 2: Convert to fraction form
    985.72/1,478.99 = 552.87/x
  3. Step 3: Cross multiply
    985.72x = 1,478.99 × 552.87
  4. Step 4: Simplify right side
    985.72x = 817,689.20
  5. Step 5: Solve for x
    x = 817,689.20/985.72
  6. Step 6: Final answer
    x = 829.53

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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.