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Finding the Fourth Proportional to 1,124.33, 1,686.71 and 394.40

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Solution

The fourth proportional to 1,124.33, 1,686.71 and 394.40 is: 591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.33 : 1,686.71 = 394.40 : x
  2. Step 2: Convert to fraction form
    1,124.33/1,686.71 = 394.40/x
  3. Step 3: Cross multiply
    1,124.33x = 1,686.71 × 394.40
  4. Step 4: Simplify right side
    1,124.33x = 665,243.63
  5. Step 5: Solve for x
    x = 665,243.63/1,124.33
  6. Step 6: Final answer
    x = 591.68

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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.