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Finding the Fourth Proportional to 1,143.52, 1,712.31 and 980.02

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Solution

The fourth proportional to 1,143.52, 1,712.31 and 980.02 is: 1,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.52 : 1,712.31 = 980.02 : x
  2. Step 2: Convert to fraction form
    1,143.52/1,712.31 = 980.02/x
  3. Step 3: Cross multiply
    1,143.52x = 1,712.31 × 980.02
  4. Step 4: Simplify right side
    1,143.52x = 1,678,098.05
  5. Step 5: Solve for x
    x = 1,678,098.05/1,143.52
  6. Step 6: Final answer
    x = 1,467.48

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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.