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Finding the Fourth Proportional to 1,154.35, 1,728.45 and 605.39

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Solution

The fourth proportional to 1,154.35, 1,728.45 and 605.39 is: 906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.35 : 1,728.45 = 605.39 : x
  2. Step 2: Convert to fraction form
    1,154.35/1,728.45 = 605.39/x
  3. Step 3: Cross multiply
    1,154.35x = 1,728.45 × 605.39
  4. Step 4: Simplify right side
    1,154.35x = 1,046,374.68
  5. Step 5: Solve for x
    x = 1,046,374.68/1,154.35
  6. Step 6: Final answer
    x = 906.46

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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.