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Finding the Fourth Proportional to 1,123.10, 1,684.42 and 382.64

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Solution

The fourth proportional to 1,123.10, 1,684.42 and 382.64 is: 573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.10 : 1,684.42 = 382.64 : x
  2. Step 2: Convert to fraction form
    1,123.10/1,684.42 = 382.64/x
  3. Step 3: Cross multiply
    1,123.10x = 1,684.42 × 382.64
  4. Step 4: Simplify right side
    1,123.10x = 644,526.47
  5. Step 5: Solve for x
    x = 644,526.47/1,123.10
  6. Step 6: Final answer
    x = 573.88

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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.