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Finding the Fourth Proportional to 1,124.68, 1,686.80 and 394.14

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Solution

The fourth proportional to 1,124.68, 1,686.80 and 394.14 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.68 : 1,686.80 = 394.14 : x
  2. Step 2: Convert to fraction form
    1,124.68/1,686.80 = 394.14/x
  3. Step 3: Cross multiply
    1,124.68x = 1,686.80 × 394.14
  4. Step 4: Simplify right side
    1,124.68x = 664,835.35
  5. Step 5: Solve for x
    x = 664,835.35/1,124.68
  6. Step 6: Final answer
    x = 591.13

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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.