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Finding the Fourth Proportional to 1,008.64, 1,513.28 and 431.84

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Solution

The fourth proportional to 1,008.64, 1,513.28 and 431.84 is: 647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.64 : 1,513.28 = 431.84 : x
  2. Step 2: Convert to fraction form
    1,008.64/1,513.28 = 431.84/x
  3. Step 3: Cross multiply
    1,008.64x = 1,513.28 × 431.84
  4. Step 4: Simplify right side
    1,008.64x = 653,494.84
  5. Step 5: Solve for x
    x = 653,494.84/1,008.64
  6. Step 6: Final answer
    x = 647.90

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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.