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Finding the Fourth Proportional to 985.72, 1,478.48 and 437.92

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Solution

The fourth proportional to 985.72, 1,478.48 and 437.92 is: 656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.72 : 1,478.48 = 437.92 : x
  2. Step 2: Convert to fraction form
    985.72/1,478.48 = 437.92/x
  3. Step 3: Cross multiply
    985.72x = 1,478.48 × 437.92
  4. Step 4: Simplify right side
    985.72x = 647,455.96
  5. Step 5: Solve for x
    x = 647,455.96/985.72
  6. Step 6: Final answer
    x = 656.84

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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.