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Finding the Fourth Proportional to 834.70, 1,252.30 and 286.88

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Solution

The fourth proportional to 834.70, 1,252.30 and 286.88 is: 430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.70 : 1,252.30 = 286.88 : x
  2. Step 2: Convert to fraction form
    834.70/1,252.30 = 286.88/x
  3. Step 3: Cross multiply
    834.70x = 1,252.30 × 286.88
  4. Step 4: Simplify right side
    834.70x = 359,259.82
  5. Step 5: Solve for x
    x = 359,259.82/834.70
  6. Step 6: Final answer
    x = 430.41

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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.