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Finding the Fourth Proportional to 924.82, 1,275.78 and 531.60

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Solution

The fourth proportional to 924.82, 1,275.78 and 531.60 is: 733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.82 : 1,275.78 = 531.60 : x
  2. Step 2: Convert to fraction form
    924.82/1,275.78 = 531.60/x
  3. Step 3: Cross multiply
    924.82x = 1,275.78 × 531.60
  4. Step 4: Simplify right side
    924.82x = 678,204.65
  5. Step 5: Solve for x
    x = 678,204.65/924.82
  6. Step 6: Final answer
    x = 733.34

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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.