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Finding the Fourth Proportional to 1,071.40, 1,478.28 and 605.56

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Solution

The fourth proportional to 1,071.40, 1,478.28 and 605.56 is: 835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.40 : 1,478.28 = 605.56 : x
  2. Step 2: Convert to fraction form
    1,071.40/1,478.28 = 605.56/x
  3. Step 3: Cross multiply
    1,071.40x = 1,478.28 × 605.56
  4. Step 4: Simplify right side
    1,071.40x = 895,187.24
  5. Step 5: Solve for x
    x = 895,187.24/1,071.40
  6. Step 6: Final answer
    x = 835.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.