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Finding the Fourth Proportional to 1,025.07, 1,537.65 and 583.17

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Solution

The fourth proportional to 1,025.07, 1,537.65 and 583.17 is: 874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.07 : 1,537.65 = 583.17 : x
  2. Step 2: Convert to fraction form
    1,025.07/1,537.65 = 583.17/x
  3. Step 3: Cross multiply
    1,025.07x = 1,537.65 × 583.17
  4. Step 4: Simplify right side
    1,025.07x = 896,708.43
  5. Step 5: Solve for x
    x = 896,708.43/1,025.07
  6. Step 6: Final answer
    x = 874.78

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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.