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Finding the Fourth Proportional to 969.90, 1,454.56 and 276.52

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Solution

The fourth proportional to 969.90, 1,454.56 and 276.52 is: 414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.90 : 1,454.56 = 276.52 : x
  2. Step 2: Convert to fraction form
    969.90/1,454.56 = 276.52/x
  3. Step 3: Cross multiply
    969.90x = 1,454.56 × 276.52
  4. Step 4: Simplify right side
    969.90x = 402,214.93
  5. Step 5: Solve for x
    x = 402,214.93/969.90
  6. Step 6: Final answer
    x = 414.70

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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.