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Finding the Fourth Proportional to 833.32, 1,252.14 and 738.28

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Solution

The fourth proportional to 833.32, 1,252.14 and 738.28 is: 1,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.32 : 1,252.14 = 738.28 : x
  2. Step 2: Convert to fraction form
    833.32/1,252.14 = 738.28/x
  3. Step 3: Cross multiply
    833.32x = 1,252.14 × 738.28
  4. Step 4: Simplify right side
    833.32x = 924,429.92
  5. Step 5: Solve for x
    x = 924,429.92/833.32
  6. Step 6: Final answer
    x = 1,109.33

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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.