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Finding the Fourth Proportional to 1,127.51, 1,691.13 and 305.85

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Solution

The fourth proportional to 1,127.51, 1,691.13 and 305.85 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.51 : 1,691.13 = 305.85 : x
  2. Step 2: Convert to fraction form
    1,127.51/1,691.13 = 305.85/x
  3. Step 3: Cross multiply
    1,127.51x = 1,691.13 × 305.85
  4. Step 4: Simplify right side
    1,127.51x = 517,232.11
  5. Step 5: Solve for x
    x = 517,232.11/1,127.51
  6. Step 6: Final answer
    x = 458.74

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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.