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Finding the Fourth Proportional to 1,123.61, 1,684.36 and 574.58

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Solution

The fourth proportional to 1,123.61, 1,684.36 and 574.58 is: 861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.61 : 1,684.36 = 574.58 : x
  2. Step 2: Convert to fraction form
    1,123.61/1,684.36 = 574.58/x
  3. Step 3: Cross multiply
    1,123.61x = 1,684.36 × 574.58
  4. Step 4: Simplify right side
    1,123.61x = 967,799.57
  5. Step 5: Solve for x
    x = 967,799.57/1,123.61
  6. Step 6: Final answer
    x = 861.33

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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.