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Finding the Fourth Proportional to 1,142.13, 1,714.95 and 712.02

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Solution

The fourth proportional to 1,142.13, 1,714.95 and 712.02 is: 1,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.13 : 1,714.95 = 712.02 : x
  2. Step 2: Convert to fraction form
    1,142.13/1,714.95 = 712.02/x
  3. Step 3: Cross multiply
    1,142.13x = 1,714.95 × 712.02
  4. Step 4: Simplify right side
    1,142.13x = 1,221,078.70
  5. Step 5: Solve for x
    x = 1,221,078.70/1,142.13
  6. Step 6: Final answer
    x = 1,069.12

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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.