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Finding the Fourth Proportional to 1,024.40, 1,537.56 and 537.80

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Solution

The fourth proportional to 1,024.40, 1,537.56 and 537.80 is: 807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.40 : 1,537.56 = 537.80 : x
  2. Step 2: Convert to fraction form
    1,024.40/1,537.56 = 537.80/x
  3. Step 3: Cross multiply
    1,024.40x = 1,537.56 × 537.80
  4. Step 4: Simplify right side
    1,024.40x = 826,899.77
  5. Step 5: Solve for x
    x = 826,899.77/1,024.40
  6. Step 6: Final answer
    x = 807.20

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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.