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Finding the Fourth Proportional to 732.84, 1,093.26 and 710.72

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Solution

The fourth proportional to 732.84, 1,093.26 and 710.72 is: 1,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.84 : 1,093.26 = 710.72 : x
  2. Step 2: Convert to fraction form
    732.84/1,093.26 = 710.72/x
  3. Step 3: Cross multiply
    732.84x = 1,093.26 × 710.72
  4. Step 4: Simplify right side
    732.84x = 777,001.75
  5. Step 5: Solve for x
    x = 777,001.75/732.84
  6. Step 6: Final answer
    x = 1,060.26

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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.