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Finding the Fourth Proportional to 1,251.06, 1,875.84 and 593.10

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Solution

The fourth proportional to 1,251.06, 1,875.84 and 593.10 is: 889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.06 : 1,875.84 = 593.10 : x
  2. Step 2: Convert to fraction form
    1,251.06/1,875.84 = 593.10/x
  3. Step 3: Cross multiply
    1,251.06x = 1,875.84 × 593.10
  4. Step 4: Simplify right side
    1,251.06x = 1,112,560.70
  5. Step 5: Solve for x
    x = 1,112,560.70/1,251.06
  6. Step 6: Final answer
    x = 889.29

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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.