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Finding the Fourth Proportional to 903.24, 1,352.73 and 577.62

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Solution

The fourth proportional to 903.24, 1,352.73 and 577.62 is: 865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.24 : 1,352.73 = 577.62 : x
  2. Step 2: Convert to fraction form
    903.24/1,352.73 = 577.62/x
  3. Step 3: Cross multiply
    903.24x = 1,352.73 × 577.62
  4. Step 4: Simplify right side
    903.24x = 781,363.90
  5. Step 5: Solve for x
    x = 781,363.90/903.24
  6. Step 6: Final answer
    x = 865.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.