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Finding the Fourth Proportional to 924.74, 1,275 and 793.52

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Solution

The fourth proportional to 924.74, 1,275 and 793.52 is: 1,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.74 : 1,275 = 793.52 : x
  2. Step 2: Convert to fraction form
    924.74/1,275 = 793.52/x
  3. Step 3: Cross multiply
    924.74x = 1,275 × 793.52
  4. Step 4: Simplify right side
    924.74x = 1,011,738
  5. Step 5: Solve for x
    x = 1,011,738/924.74
  6. Step 6: Final answer
    x = 1,094.08

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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.