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Finding the Fourth Proportional to 1,124.65, 1,686.27 and 394.30

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Solution

The fourth proportional to 1,124.65, 1,686.27 and 394.30 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.65 : 1,686.27 = 394.30 : x
  2. Step 2: Convert to fraction form
    1,124.65/1,686.27 = 394.30/x
  3. Step 3: Cross multiply
    1,124.65x = 1,686.27 × 394.30
  4. Step 4: Simplify right side
    1,124.65x = 664,887.83
  5. Step 5: Solve for x
    x = 664,887.83/1,124.65
  6. Step 6: Final answer
    x = 591.20

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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.