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Finding the Fourth Proportional to 1,026.70, 1,540.05 and 410.70

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Solution

The fourth proportional to 1,026.70, 1,540.05 and 410.70 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.70 : 1,540.05 = 410.70 : x
  2. Step 2: Convert to fraction form
    1,026.70/1,540.05 = 410.70/x
  3. Step 3: Cross multiply
    1,026.70x = 1,540.05 × 410.70
  4. Step 4: Simplify right side
    1,026.70x = 632,498.54
  5. Step 5: Solve for x
    x = 632,498.54/1,026.70
  6. Step 6: Final answer
    x = 616.05

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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.