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Finding the Fourth Proportional to 1,119.65, 1,677.89 and 534.18

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Solution

The fourth proportional to 1,119.65, 1,677.89 and 534.18 is: 800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.65 : 1,677.89 = 534.18 : x
  2. Step 2: Convert to fraction form
    1,119.65/1,677.89 = 534.18/x
  3. Step 3: Cross multiply
    1,119.65x = 1,677.89 × 534.18
  4. Step 4: Simplify right side
    1,119.65x = 896,295.28
  5. Step 5: Solve for x
    x = 896,295.28/1,119.65
  6. Step 6: Final answer
    x = 800.51

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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.