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Finding the Fourth Proportional to 1,060.81, 1,580.28 and 1,028.57

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Solution

The fourth proportional to 1,060.81, 1,580.28 and 1,028.57 is: 1,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.81 : 1,580.28 = 1,028.57 : x
  2. Step 2: Convert to fraction form
    1,060.81/1,580.28 = 1,028.57/x
  3. Step 3: Cross multiply
    1,060.81x = 1,580.28 × 1,028.57
  4. Step 4: Simplify right side
    1,060.81x = 1,625,422.08
  5. Step 5: Solve for x
    x = 1,625,422.08/1,060.81
  6. Step 6: Final answer
    x = 1,532.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.