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Finding the Fourth Proportional to 1,026.51, 1,540.38 and 410.13

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Solution

The fourth proportional to 1,026.51, 1,540.38 and 410.13 is: 615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.51 : 1,540.38 = 410.13 : x
  2. Step 2: Convert to fraction form
    1,026.51/1,540.38 = 410.13/x
  3. Step 3: Cross multiply
    1,026.51x = 1,540.38 × 410.13
  4. Step 4: Simplify right side
    1,026.51x = 631,757.59
  5. Step 5: Solve for x
    x = 631,757.59/1,026.51
  6. Step 6: Final answer
    x = 615.44

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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.