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Finding the Fourth Proportional to 1,124.48, 1,676.80 and 1,046.56

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Solution

The fourth proportional to 1,124.48, 1,676.80 and 1,046.56 is: 1,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.48 : 1,676.80 = 1,046.56 : x
  2. Step 2: Convert to fraction form
    1,124.48/1,676.80 = 1,046.56/x
  3. Step 3: Cross multiply
    1,124.48x = 1,676.80 × 1,046.56
  4. Step 4: Simplify right side
    1,124.48x = 1,754,871.81
  5. Step 5: Solve for x
    x = 1,754,871.81/1,124.48
  6. Step 6: Final answer
    x = 1,560.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.