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Finding the Fourth Proportional to 1,225.17, 1,691.82 and 833.13

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Solution

The fourth proportional to 1,225.17, 1,691.82 and 833.13 is: 1,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.17 : 1,691.82 = 833.13 : x
  2. Step 2: Convert to fraction form
    1,225.17/1,691.82 = 833.13/x
  3. Step 3: Cross multiply
    1,225.17x = 1,691.82 × 833.13
  4. Step 4: Simplify right side
    1,225.17x = 1,409,506.00
  5. Step 5: Solve for x
    x = 1,409,506.00/1,225.17
  6. Step 6: Final answer
    x = 1,150.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.