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Finding the Fourth Proportional to 874.98, 1,312.16 and 412.68

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Solution

The fourth proportional to 874.98, 1,312.16 and 412.68 is: 618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.98 : 1,312.16 = 412.68 : x
  2. Step 2: Convert to fraction form
    874.98/1,312.16 = 412.68/x
  3. Step 3: Cross multiply
    874.98x = 1,312.16 × 412.68
  4. Step 4: Simplify right side
    874.98x = 541,502.19
  5. Step 5: Solve for x
    x = 541,502.19/874.98
  6. Step 6: Final answer
    x = 618.87

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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.