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Finding the Fourth Proportional to 1,125.52, 1,688.69 and 540.77

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Solution

The fourth proportional to 1,125.52, 1,688.69 and 540.77 is: 811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.52 : 1,688.69 = 540.77 : x
  2. Step 2: Convert to fraction form
    1,125.52/1,688.69 = 540.77/x
  3. Step 3: Cross multiply
    1,125.52x = 1,688.69 × 540.77
  4. Step 4: Simplify right side
    1,125.52x = 913,185.80
  5. Step 5: Solve for x
    x = 913,185.80/1,125.52
  6. Step 6: Final answer
    x = 811.35

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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.