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Finding the Fourth Proportional to 1,024.32, 1,534.93 and 763.09

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Solution

The fourth proportional to 1,024.32, 1,534.93 and 763.09 is: 1,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.32 : 1,534.93 = 763.09 : x
  2. Step 2: Convert to fraction form
    1,024.32/1,534.93 = 763.09/x
  3. Step 3: Cross multiply
    1,024.32x = 1,534.93 × 763.09
  4. Step 4: Simplify right side
    1,024.32x = 1,171,285.92
  5. Step 5: Solve for x
    x = 1,171,285.92/1,024.32
  6. Step 6: Final answer
    x = 1,143.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.