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Finding the Fourth Proportional to 1,125.64, 1,689.10 and 395.76

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Solution

The fourth proportional to 1,125.64, 1,689.10 and 395.76 is: 593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.64 : 1,689.10 = 395.76 : x
  2. Step 2: Convert to fraction form
    1,125.64/1,689.10 = 395.76/x
  3. Step 3: Cross multiply
    1,125.64x = 1,689.10 × 395.76
  4. Step 4: Simplify right side
    1,125.64x = 668,478.22
  5. Step 5: Solve for x
    x = 668,478.22/1,125.64
  6. Step 6: Final answer
    x = 593.87

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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.