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Finding the Fourth Proportional to 1,123.40, 1,684.78 and 474

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Solution

The fourth proportional to 1,123.40, 1,684.78 and 474 is: 710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.40 : 1,684.78 = 474 : x
  2. Step 2: Convert to fraction form
    1,123.40/1,684.78 = 474/x
  3. Step 3: Cross multiply
    1,123.40x = 1,684.78 × 474
  4. Step 4: Simplify right side
    1,123.40x = 798,585.72
  5. Step 5: Solve for x
    x = 798,585.72/1,123.40
  6. Step 6: Final answer
    x = 710.86

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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.