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Finding the Fourth Proportional to 1,139.34, 1,572.99 and 720.12

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Solution

The fourth proportional to 1,139.34, 1,572.99 and 720.12 is: 994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.34 : 1,572.99 = 720.12 : x
  2. Step 2: Convert to fraction form
    1,139.34/1,572.99 = 720.12/x
  3. Step 3: Cross multiply
    1,139.34x = 1,572.99 × 720.12
  4. Step 4: Simplify right side
    1,139.34x = 1,132,741.56
  5. Step 5: Solve for x
    x = 1,132,741.56/1,139.34
  6. Step 6: Final answer
    x = 994.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.