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Finding the Fourth Proportional to 1,123.46, 1,549.79 and 657.44

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Solution

The fourth proportional to 1,123.46, 1,549.79 and 657.44 is: 906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.46 : 1,549.79 = 657.44 : x
  2. Step 2: Convert to fraction form
    1,123.46/1,549.79 = 657.44/x
  3. Step 3: Cross multiply
    1,123.46x = 1,549.79 × 657.44
  4. Step 4: Simplify right side
    1,123.46x = 1,018,893.94
  5. Step 5: Solve for x
    x = 1,018,893.94/1,123.46
  6. Step 6: Final answer
    x = 906.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.