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Finding the Fourth Proportional to 924.32, 1,272.84 and 826.04

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Solution

The fourth proportional to 924.32, 1,272.84 and 826.04 is: 1,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.32 : 1,272.84 = 826.04 : x
  2. Step 2: Convert to fraction form
    924.32/1,272.84 = 826.04/x
  3. Step 3: Cross multiply
    924.32x = 1,272.84 × 826.04
  4. Step 4: Simplify right side
    924.32x = 1,051,416.75
  5. Step 5: Solve for x
    x = 1,051,416.75/924.32
  6. Step 6: Final answer
    x = 1,137.50

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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.