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Finding the Fourth Proportional to 1,328.17, 1,990.31 and 833.40

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Solution

The fourth proportional to 1,328.17, 1,990.31 and 833.40 is: 1,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.17 : 1,990.31 = 833.40 : x
  2. Step 2: Convert to fraction form
    1,328.17/1,990.31 = 833.40/x
  3. Step 3: Cross multiply
    1,328.17x = 1,990.31 × 833.40
  4. Step 4: Simplify right side
    1,328.17x = 1,658,731.29
  5. Step 5: Solve for x
    x = 1,658,731.29/1,328.17
  6. Step 6: Final answer
    x = 1,248.88

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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.