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Finding the Fourth Proportional to 1,146.30, 1,720.66 and 713.76

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Solution

The fourth proportional to 1,146.30, 1,720.66 and 713.76 is: 1,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.30 : 1,720.66 = 713.76 : x
  2. Step 2: Convert to fraction form
    1,146.30/1,720.66 = 713.76/x
  3. Step 3: Cross multiply
    1,146.30x = 1,720.66 × 713.76
  4. Step 4: Simplify right side
    1,146.30x = 1,228,138.28
  5. Step 5: Solve for x
    x = 1,228,138.28/1,146.30
  6. Step 6: Final answer
    x = 1,071.39

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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.