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Finding the Fourth Proportional to 1,040.51, 1,560.42 and 579.19

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Solution

The fourth proportional to 1,040.51, 1,560.42 and 579.19 is: 868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.51 : 1,560.42 = 579.19 : x
  2. Step 2: Convert to fraction form
    1,040.51/1,560.42 = 579.19/x
  3. Step 3: Cross multiply
    1,040.51x = 1,560.42 × 579.19
  4. Step 4: Simplify right side
    1,040.51x = 903,779.66
  5. Step 5: Solve for x
    x = 903,779.66/1,040.51
  6. Step 6: Final answer
    x = 868.59

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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.