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Finding the Fourth Proportional to 1,008.24, 1,512.90 and 521.16

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Solution

The fourth proportional to 1,008.24, 1,512.90 and 521.16 is: 782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.24 : 1,512.90 = 521.16 : x
  2. Step 2: Convert to fraction form
    1,008.24/1,512.90 = 521.16/x
  3. Step 3: Cross multiply
    1,008.24x = 1,512.90 × 521.16
  4. Step 4: Simplify right side
    1,008.24x = 788,462.96
  5. Step 5: Solve for x
    x = 788,462.96/1,008.24
  6. Step 6: Final answer
    x = 782.02

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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.