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Finding the Fourth Proportional to 924.75, 1,275.62 and 575.55

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Solution

The fourth proportional to 924.75, 1,275.62 and 575.55 is: 793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.75 : 1,275.62 = 575.55 : x
  2. Step 2: Convert to fraction form
    924.75/1,275.62 = 575.55/x
  3. Step 3: Cross multiply
    924.75x = 1,275.62 × 575.55
  4. Step 4: Simplify right side
    924.75x = 734,180.21
  5. Step 5: Solve for x
    x = 734,180.21/924.75
  6. Step 6: Final answer
    x = 793.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.