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Finding the Fourth Proportional to 828.96, 1,248.12 and 746.40

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Solution

The fourth proportional to 828.96, 1,248.12 and 746.40 is: 1,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.96 : 1,248.12 = 746.40 : x
  2. Step 2: Convert to fraction form
    828.96/1,248.12 = 746.40/x
  3. Step 3: Cross multiply
    828.96x = 1,248.12 × 746.40
  4. Step 4: Simplify right side
    828.96x = 931,596.77
  5. Step 5: Solve for x
    x = 931,596.77/828.96
  6. Step 6: Final answer
    x = 1,123.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.