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Finding the Fourth Proportional to 924.24, 1,275.30 and 575.40

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Solution

The fourth proportional to 924.24, 1,275.30 and 575.40 is: 793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.24 : 1,275.30 = 575.40 : x
  2. Step 2: Convert to fraction form
    924.24/1,275.30 = 575.40/x
  3. Step 3: Cross multiply
    924.24x = 1,275.30 × 575.40
  4. Step 4: Simplify right side
    924.24x = 733,807.62
  5. Step 5: Solve for x
    x = 733,807.62/924.24
  6. Step 6: Final answer
    x = 793.96

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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.