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Finding the Fourth Proportional to 924.38, 1,277.46 and 825.96

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Solution

The fourth proportional to 924.38, 1,277.46 and 825.96 is: 1,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.38 : 1,277.46 = 825.96 : x
  2. Step 2: Convert to fraction form
    924.38/1,277.46 = 825.96/x
  3. Step 3: Cross multiply
    924.38x = 1,277.46 × 825.96
  4. Step 4: Simplify right side
    924.38x = 1,055,130.86
  5. Step 5: Solve for x
    x = 1,055,130.86/924.38
  6. Step 6: Final answer
    x = 1,141.45

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1.5x scale

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.