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Finding the Fourth Proportional to 713.11, 1,063.15 and 695.12

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Solution

The fourth proportional to 713.11, 1,063.15 and 695.12 is: 1,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.11 : 1,063.15 = 695.12 : x
  2. Step 2: Convert to fraction form
    713.11/1,063.15 = 695.12/x
  3. Step 3: Cross multiply
    713.11x = 1,063.15 × 695.12
  4. Step 4: Simplify right side
    713.11x = 739,016.83
  5. Step 5: Solve for x
    x = 739,016.83/713.11
  6. Step 6: Final answer
    x = 1,036.33

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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.