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Finding the Fourth Proportional to 1,350.29, 1,864.22 and 931.38

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Solution

The fourth proportional to 1,350.29, 1,864.22 and 931.38 is: 1,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.29 : 1,864.22 = 931.38 : x
  2. Step 2: Convert to fraction form
    1,350.29/1,864.22 = 931.38/x
  3. Step 3: Cross multiply
    1,350.29x = 1,864.22 × 931.38
  4. Step 4: Simplify right side
    1,350.29x = 1,736,292.57
  5. Step 5: Solve for x
    x = 1,736,292.57/1,350.29
  6. Step 6: Final answer
    x = 1,285.87

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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.