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Finding the Fourth Proportional to 715.98, 1,073.13 and 578.22

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Solution

The fourth proportional to 715.98, 1,073.13 and 578.22 is: 866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.98 : 1,073.13 = 578.22 : x
  2. Step 2: Convert to fraction form
    715.98/1,073.13 = 578.22/x
  3. Step 3: Cross multiply
    715.98x = 1,073.13 × 578.22
  4. Step 4: Simplify right side
    715.98x = 620,505.23
  5. Step 5: Solve for x
    x = 620,505.23/715.98
  6. Step 6: Final answer
    x = 866.65

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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.