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Finding the Fourth Proportional to 874.40, 1,207.04 and 525.12

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Solution

The fourth proportional to 874.40, 1,207.04 and 525.12 is: 724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.40 : 1,207.04 = 525.12 : x
  2. Step 2: Convert to fraction form
    874.40/1,207.04 = 525.12/x
  3. Step 3: Cross multiply
    874.40x = 1,207.04 × 525.12
  4. Step 4: Simplify right side
    874.40x = 633,840.84
  5. Step 5: Solve for x
    x = 633,840.84/874.40
  6. Step 6: Final answer
    x = 724.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.