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Finding the Fourth Proportional to 1,125.50, 1,688.55 and 395.11

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Solution

The fourth proportional to 1,125.50, 1,688.55 and 395.11 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.50 : 1,688.55 = 395.11 : x
  2. Step 2: Convert to fraction form
    1,125.50/1,688.55 = 395.11/x
  3. Step 3: Cross multiply
    1,125.50x = 1,688.55 × 395.11
  4. Step 4: Simplify right side
    1,125.50x = 667,163.62
  5. Step 5: Solve for x
    x = 667,163.62/1,125.50
  6. Step 6: Final answer
    x = 592.77

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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.