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Finding the Fourth Proportional to 924.75, 1,276.16 and 531.77

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Solution

The fourth proportional to 924.75, 1,276.16 and 531.77 is: 733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.75 : 1,276.16 = 531.77 : x
  2. Step 2: Convert to fraction form
    924.75/1,276.16 = 531.77/x
  3. Step 3: Cross multiply
    924.75x = 1,276.16 × 531.77
  4. Step 4: Simplify right side
    924.75x = 678,614.56
  5. Step 5: Solve for x
    x = 678,614.56/924.75
  6. Step 6: Final answer
    x = 733.84

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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.