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Finding the Fourth Proportional to 874.80, 1,312.10 and 225.52

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Solution

The fourth proportional to 874.80, 1,312.10 and 225.52 is: 338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.80 : 1,312.10 = 225.52 : x
  2. Step 2: Convert to fraction form
    874.80/1,312.10 = 225.52/x
  3. Step 3: Cross multiply
    874.80x = 1,312.10 × 225.52
  4. Step 4: Simplify right side
    874.80x = 295,904.79
  5. Step 5: Solve for x
    x = 295,904.79/874.80
  6. Step 6: Final answer
    x = 338.25

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1.5x scale

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.