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Finding the Fourth Proportional to 874.30, 1,206.63 and 525.10

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Solution

The fourth proportional to 874.30, 1,206.63 and 525.10 is: 724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.30 : 1,206.63 = 525.10 : x
  2. Step 2: Convert to fraction form
    874.30/1,206.63 = 525.10/x
  3. Step 3: Cross multiply
    874.30x = 1,206.63 × 525.10
  4. Step 4: Simplify right side
    874.30x = 633,600.37
  5. Step 5: Solve for x
    x = 633,600.37/874.30
  6. Step 6: Final answer
    x = 724.70

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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.