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Finding the Fourth Proportional to 834.96, 1,253.40 and 506.40

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Solution

The fourth proportional to 834.96, 1,253.40 and 506.40 is: 760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,253.40 = 506.40 : x
  2. Step 2: Convert to fraction form
    834.96/1,253.40 = 506.40/x
  3. Step 3: Cross multiply
    834.96x = 1,253.40 × 506.40
  4. Step 4: Simplify right side
    834.96x = 634,721.76
  5. Step 5: Solve for x
    x = 634,721.76/834.96
  6. Step 6: Final answer
    x = 760.18

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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.