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Finding the Fourth Proportional to 1,275.49, 1,913.30 and 398.59

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Solution

The fourth proportional to 1,275.49, 1,913.30 and 398.59 is: 597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.49 : 1,913.30 = 398.59 : x
  2. Step 2: Convert to fraction form
    1,275.49/1,913.30 = 398.59/x
  3. Step 3: Cross multiply
    1,275.49x = 1,913.30 × 398.59
  4. Step 4: Simplify right side
    1,275.49x = 762,622.25
  5. Step 5: Solve for x
    x = 762,622.25/1,275.49
  6. Step 6: Final answer
    x = 597.91

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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.