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Finding the Fourth Proportional to 1,167.70, 1,612.20 and 813.52

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Solution

The fourth proportional to 1,167.70, 1,612.20 and 813.52 is: 1,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.70 : 1,612.20 = 813.52 : x
  2. Step 2: Convert to fraction form
    1,167.70/1,612.20 = 813.52/x
  3. Step 3: Cross multiply
    1,167.70x = 1,612.20 × 813.52
  4. Step 4: Simplify right side
    1,167.70x = 1,311,556.94
  5. Step 5: Solve for x
    x = 1,311,556.94/1,167.70
  6. Step 6: Final answer
    x = 1,123.20

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1.5x scale

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.