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Finding the Fourth Proportional to 1,026.28, 1,540.28 and 410.40

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Solution

The fourth proportional to 1,026.28, 1,540.28 and 410.40 is: 615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.28 : 1,540.28 = 410.40 : x
  2. Step 2: Convert to fraction form
    1,026.28/1,540.28 = 410.40/x
  3. Step 3: Cross multiply
    1,026.28x = 1,540.28 × 410.40
  4. Step 4: Simplify right side
    1,026.28x = 632,130.91
  5. Step 5: Solve for x
    x = 632,130.91/1,026.28
  6. Step 6: Final answer
    x = 615.94

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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.