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Finding the Fourth Proportional to 1,124.07, 1,683.23 and 689.91

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Solution

The fourth proportional to 1,124.07, 1,683.23 and 689.91 is: 1,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.07 : 1,683.23 = 689.91 : x
  2. Step 2: Convert to fraction form
    1,124.07/1,683.23 = 689.91/x
  3. Step 3: Cross multiply
    1,124.07x = 1,683.23 × 689.91
  4. Step 4: Simplify right side
    1,124.07x = 1,161,273.76
  5. Step 5: Solve for x
    x = 1,161,273.76/1,124.07
  6. Step 6: Final answer
    x = 1,033.10

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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.