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Finding the Fourth Proportional to 874.87, 1,312.74 and 412.59

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Solution

The fourth proportional to 874.87, 1,312.74 and 412.59 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.87 : 1,312.74 = 412.59 : x
  2. Step 2: Convert to fraction form
    874.87/1,312.74 = 412.59/x
  3. Step 3: Cross multiply
    874.87x = 1,312.74 × 412.59
  4. Step 4: Simplify right side
    874.87x = 541,628.32
  5. Step 5: Solve for x
    x = 541,628.32/874.87
  6. Step 6: Final answer
    x = 619.10

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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.