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Finding the Fourth Proportional to 1,124.74, 1,689.76 and 1,062.58

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Solution

The fourth proportional to 1,124.74, 1,689.76 and 1,062.58 is: 1,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.74 : 1,689.76 = 1,062.58 : x
  2. Step 2: Convert to fraction form
    1,124.74/1,689.76 = 1,062.58/x
  3. Step 3: Cross multiply
    1,124.74x = 1,689.76 × 1,062.58
  4. Step 4: Simplify right side
    1,124.74x = 1,795,505.18
  5. Step 5: Solve for x
    x = 1,795,505.18/1,124.74
  6. Step 6: Final answer
    x = 1,596.37

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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.