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Finding the Fourth Proportional to 1,123.74, 1,688.04 and 921.24

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Solution

The fourth proportional to 1,123.74, 1,688.04 and 921.24 is: 1,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.74 : 1,688.04 = 921.24 : x
  2. Step 2: Convert to fraction form
    1,123.74/1,688.04 = 921.24/x
  3. Step 3: Cross multiply
    1,123.74x = 1,688.04 × 921.24
  4. Step 4: Simplify right side
    1,123.74x = 1,555,089.97
  5. Step 5: Solve for x
    x = 1,555,089.97/1,123.74
  6. Step 6: Final answer
    x = 1,383.85

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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.