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Finding the Fourth Proportional to 874.68, 1,312.83 and 442.14

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Solution

The fourth proportional to 874.68, 1,312.83 and 442.14 is: 663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.68 : 1,312.83 = 442.14 : x
  2. Step 2: Convert to fraction form
    874.68/1,312.83 = 442.14/x
  3. Step 3: Cross multiply
    874.68x = 1,312.83 × 442.14
  4. Step 4: Simplify right side
    874.68x = 580,454.66
  5. Step 5: Solve for x
    x = 580,454.66/874.68
  6. Step 6: Final answer
    x = 663.62

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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.