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Finding the Fourth Proportional to 949.28, 1,429.54 and 828.96

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Solution

The fourth proportional to 949.28, 1,429.54 and 828.96 is: 1,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.28 : 1,429.54 = 828.96 : x
  2. Step 2: Convert to fraction form
    949.28/1,429.54 = 828.96/x
  3. Step 3: Cross multiply
    949.28x = 1,429.54 × 828.96
  4. Step 4: Simplify right side
    949.28x = 1,185,031.48
  5. Step 5: Solve for x
    x = 1,185,031.48/949.28
  6. Step 6: Final answer
    x = 1,248.35

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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.