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Finding the Fourth Proportional to 1,125.62, 1,688.44 and 540.87

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Solution

The fourth proportional to 1,125.62, 1,688.44 and 540.87 is: 811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.62 : 1,688.44 = 540.87 : x
  2. Step 2: Convert to fraction form
    1,125.62/1,688.44 = 540.87/x
  3. Step 3: Cross multiply
    1,125.62x = 1,688.44 × 540.87
  4. Step 4: Simplify right side
    1,125.62x = 913,226.54
  5. Step 5: Solve for x
    x = 913,226.54/1,125.62
  6. Step 6: Final answer
    x = 811.31

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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.