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Finding the Fourth Proportional to 1,087.52, 1,630.64 and 654.40

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Solution

The fourth proportional to 1,087.52, 1,630.64 and 654.40 is: 981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.52 : 1,630.64 = 654.40 : x
  2. Step 2: Convert to fraction form
    1,087.52/1,630.64 = 654.40/x
  3. Step 3: Cross multiply
    1,087.52x = 1,630.64 × 654.40
  4. Step 4: Simplify right side
    1,087.52x = 1,067,090.82
  5. Step 5: Solve for x
    x = 1,067,090.82/1,087.52
  6. Step 6: Final answer
    x = 981.21

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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.