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Finding the Fourth Proportional to 924.01, 1,268.46 and 792.79

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Solution

The fourth proportional to 924.01, 1,268.46 and 792.79 is: 1,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.01 : 1,268.46 = 792.79 : x
  2. Step 2: Convert to fraction form
    924.01/1,268.46 = 792.79/x
  3. Step 3: Cross multiply
    924.01x = 1,268.46 × 792.79
  4. Step 4: Simplify right side
    924.01x = 1,005,619.23
  5. Step 5: Solve for x
    x = 1,005,619.23/924.01
  6. Step 6: Final answer
    x = 1,088.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.