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Finding the Fourth Proportional to 1,472.87, 2,032.76 and 950.42

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Solution

The fourth proportional to 1,472.87, 2,032.76 and 950.42 is: 1,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.87 : 2,032.76 = 950.42 : x
  2. Step 2: Convert to fraction form
    1,472.87/2,032.76 = 950.42/x
  3. Step 3: Cross multiply
    1,472.87x = 2,032.76 × 950.42
  4. Step 4: Simplify right side
    1,472.87x = 1,931,975.76
  5. Step 5: Solve for x
    x = 1,931,975.76/1,472.87
  6. Step 6: Final answer
    x = 1,311.71

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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.