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Finding the Fourth Proportional to 1,465.20, 2,195.92 and 598.48

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Solution

The fourth proportional to 1,465.20, 2,195.92 and 598.48 is: 896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.20 : 2,195.92 = 598.48 : x
  2. Step 2: Convert to fraction form
    1,465.20/2,195.92 = 598.48/x
  3. Step 3: Cross multiply
    1,465.20x = 2,195.92 × 598.48
  4. Step 4: Simplify right side
    1,465.20x = 1,314,214.20
  5. Step 5: Solve for x
    x = 1,314,214.20/1,465.20
  6. Step 6: Final answer
    x = 896.95

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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.