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Finding the Fourth Proportional to 725.29, 1,085.50 and 715.57

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Solution

The fourth proportional to 725.29, 1,085.50 and 715.57 is: 1,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.29 : 1,085.50 = 715.57 : x
  2. Step 2: Convert to fraction form
    725.29/1,085.50 = 715.57/x
  3. Step 3: Cross multiply
    725.29x = 1,085.50 × 715.57
  4. Step 4: Simplify right side
    725.29x = 776,749.42
  5. Step 5: Solve for x
    x = 776,749.42/725.29
  6. Step 6: Final answer
    x = 1,070.95

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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.