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Finding the Fourth Proportional to 833.13, 1,249.08 and 442.65

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Solution

The fourth proportional to 833.13, 1,249.08 and 442.65 is: 663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.13 : 1,249.08 = 442.65 : x
  2. Step 2: Convert to fraction form
    833.13/1,249.08 = 442.65/x
  3. Step 3: Cross multiply
    833.13x = 1,249.08 × 442.65
  4. Step 4: Simplify right side
    833.13x = 552,905.26
  5. Step 5: Solve for x
    x = 552,905.26/833.13
  6. Step 6: Final answer
    x = 663.65

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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.