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Finding the Fourth Proportional to 1,101.40, 1,651.95 and 398.53

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Solution

The fourth proportional to 1,101.40, 1,651.95 and 398.53 is: 597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.40 : 1,651.95 = 398.53 : x
  2. Step 2: Convert to fraction form
    1,101.40/1,651.95 = 398.53/x
  3. Step 3: Cross multiply
    1,101.40x = 1,651.95 × 398.53
  4. Step 4: Simplify right side
    1,101.40x = 658,351.63
  5. Step 5: Solve for x
    x = 658,351.63/1,101.40
  6. Step 6: Final answer
    x = 597.74

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Why These Related Problems?

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