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Finding the Fourth Proportional to 1,025.57, 1,537.80 and 448.13

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Solution

The fourth proportional to 1,025.57, 1,537.80 and 448.13 is: 671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.57 : 1,537.80 = 448.13 : x
  2. Step 2: Convert to fraction form
    1,025.57/1,537.80 = 448.13/x
  3. Step 3: Cross multiply
    1,025.57x = 1,537.80 × 448.13
  4. Step 4: Simplify right side
    1,025.57x = 689,134.31
  5. Step 5: Solve for x
    x = 689,134.31/1,025.57
  6. Step 6: Final answer
    x = 671.95

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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.