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Finding the Fourth Proportional to 1,026.47, 1,540.15 and 679.93

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Solution

The fourth proportional to 1,026.47, 1,540.15 and 679.93 is: 1,020.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.47 : 1,540.15 = 679.93 : x
  2. Step 2: Convert to fraction form
    1,026.47/1,540.15 = 679.93/x
  3. Step 3: Cross multiply
    1,026.47x = 1,540.15 × 679.93
  4. Step 4: Simplify right side
    1,026.47x = 1,047,188.64
  5. Step 5: Solve for x
    x = 1,047,188.64/1,026.47
  6. Step 6: Final answer
    x = 1,020.18

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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.