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Finding the Fourth Proportional to 1,026.57, 1,540.26 and 479.10

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Solution

The fourth proportional to 1,026.57, 1,540.26 and 479.10 is: 718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.57 : 1,540.26 = 479.10 : x
  2. Step 2: Convert to fraction form
    1,026.57/1,540.26 = 479.10/x
  3. Step 3: Cross multiply
    1,026.57x = 1,540.26 × 479.10
  4. Step 4: Simplify right side
    1,026.57x = 737,938.57
  5. Step 5: Solve for x
    x = 737,938.57/1,026.57
  6. Step 6: Final answer
    x = 718.84

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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.