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Finding the Fourth Proportional to 833.06, 1,248.78 and 559.28

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Solution

The fourth proportional to 833.06, 1,248.78 and 559.28 is: 838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,248.78 = 559.28 : x
  2. Step 2: Convert to fraction form
    833.06/1,248.78 = 559.28/x
  3. Step 3: Cross multiply
    833.06x = 1,248.78 × 559.28
  4. Step 4: Simplify right side
    833.06x = 698,417.68
  5. Step 5: Solve for x
    x = 698,417.68/833.06
  6. Step 6: Final answer
    x = 838.38

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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.