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Finding the Fourth Proportional to 924.40, 1,274.16 and 749.44

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Solution

The fourth proportional to 924.40, 1,274.16 and 749.44 is: 1,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.40 : 1,274.16 = 749.44 : x
  2. Step 2: Convert to fraction form
    924.40/1,274.16 = 749.44/x
  3. Step 3: Cross multiply
    924.40x = 1,274.16 × 749.44
  4. Step 4: Simplify right side
    924.40x = 954,906.47
  5. Step 5: Solve for x
    x = 954,906.47/924.40
  6. Step 6: Final answer
    x = 1,033.00

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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.