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Finding the Fourth Proportional to 1,024.56, 1,538.16 and 537.84

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Solution

The fourth proportional to 1,024.56, 1,538.16 and 537.84 is: 807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.56 : 1,538.16 = 537.84 : x
  2. Step 2: Convert to fraction form
    1,024.56/1,538.16 = 537.84/x
  3. Step 3: Cross multiply
    1,024.56x = 1,538.16 × 537.84
  4. Step 4: Simplify right side
    1,024.56x = 827,283.97
  5. Step 5: Solve for x
    x = 827,283.97/1,024.56
  6. Step 6: Final answer
    x = 807.45

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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.