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Finding the Fourth Proportional to 715.98, 1,074.42 and 283.14

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Solution

The fourth proportional to 715.98, 1,074.42 and 283.14 is: 424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.98 : 1,074.42 = 283.14 : x
  2. Step 2: Convert to fraction form
    715.98/1,074.42 = 283.14/x
  3. Step 3: Cross multiply
    715.98x = 1,074.42 × 283.14
  4. Step 4: Simplify right side
    715.98x = 304,211.28
  5. Step 5: Solve for x
    x = 304,211.28/715.98
  6. Step 6: Final answer
    x = 424.89

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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.