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Finding the Fourth Proportional to 1,132.30, 1,689.44 and 993.79

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Solution

The fourth proportional to 1,132.30, 1,689.44 and 993.79 is: 1,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.30 : 1,689.44 = 993.79 : x
  2. Step 2: Convert to fraction form
    1,132.30/1,689.44 = 993.79/x
  3. Step 3: Cross multiply
    1,132.30x = 1,689.44 × 993.79
  4. Step 4: Simplify right side
    1,132.30x = 1,678,940.13
  5. Step 5: Solve for x
    x = 1,678,940.13/1,132.30
  6. Step 6: Final answer
    x = 1,482.78

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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.