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Finding the Fourth Proportional to 833.56, 1,248.74 and 467.24

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Solution

The fourth proportional to 833.56, 1,248.74 and 467.24 is: 699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.56 : 1,248.74 = 467.24 : x
  2. Step 2: Convert to fraction form
    833.56/1,248.74 = 467.24/x
  3. Step 3: Cross multiply
    833.56x = 1,248.74 × 467.24
  4. Step 4: Simplify right side
    833.56x = 583,461.28
  5. Step 5: Solve for x
    x = 583,461.28/833.56
  6. Step 6: Final answer
    x = 699.96

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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.