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Finding the Fourth Proportional to 924.49, 1,268.69 and 872.32

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Solution

The fourth proportional to 924.49, 1,268.69 and 872.32 is: 1,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.49 : 1,268.69 = 872.32 : x
  2. Step 2: Convert to fraction form
    924.49/1,268.69 = 872.32/x
  3. Step 3: Cross multiply
    924.49x = 1,268.69 × 872.32
  4. Step 4: Simplify right side
    924.49x = 1,106,700.49
  5. Step 5: Solve for x
    x = 1,106,700.49/924.49
  6. Step 6: Final answer
    x = 1,197.10

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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.