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Finding the Fourth Proportional to 715.71, 1,074.23 and 442.34

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Solution

The fourth proportional to 715.71, 1,074.23 and 442.34 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.71 : 1,074.23 = 442.34 : x
  2. Step 2: Convert to fraction form
    715.71/1,074.23 = 442.34/x
  3. Step 3: Cross multiply
    715.71x = 1,074.23 × 442.34
  4. Step 4: Simplify right side
    715.71x = 475,167.32
  5. Step 5: Solve for x
    x = 475,167.32/715.71
  6. Step 6: Final answer
    x = 663.91

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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.