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Finding the Fourth Proportional to 1,275.52, 1,911.60 and 582.28

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Solution

The fourth proportional to 1,275.52, 1,911.60 and 582.28 is: 872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.52 : 1,911.60 = 582.28 : x
  2. Step 2: Convert to fraction form
    1,275.52/1,911.60 = 582.28/x
  3. Step 3: Cross multiply
    1,275.52x = 1,911.60 × 582.28
  4. Step 4: Simplify right side
    1,275.52x = 1,113,086.45
  5. Step 5: Solve for x
    x = 1,113,086.45/1,275.52
  6. Step 6: Final answer
    x = 872.65

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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.