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Finding the Fourth Proportional to 924.92, 1,276.80 and 575.84

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Solution

The fourth proportional to 924.92, 1,276.80 and 575.84 is: 794.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.92 : 1,276.80 = 575.84 : x
  2. Step 2: Convert to fraction form
    924.92/1,276.80 = 575.84/x
  3. Step 3: Cross multiply
    924.92x = 1,276.80 × 575.84
  4. Step 4: Simplify right side
    924.92x = 735,232.51
  5. Step 5: Solve for x
    x = 735,232.51/924.92
  6. Step 6: Final answer
    x = 794.91

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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.