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Finding the Fourth Proportional to 1,010.22, 1,515.69 and 547.29

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Solution

The fourth proportional to 1,010.22, 1,515.69 and 547.29 is: 821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.22 : 1,515.69 = 547.29 : x
  2. Step 2: Convert to fraction form
    1,010.22/1,515.69 = 547.29/x
  3. Step 3: Cross multiply
    1,010.22x = 1,515.69 × 547.29
  4. Step 4: Simplify right side
    1,010.22x = 829,521.98
  5. Step 5: Solve for x
    x = 829,521.98/1,010.22
  6. Step 6: Final answer
    x = 821.13

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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.