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Finding the Fourth Proportional to 1,026.74, 1,540.20 and 368.76

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Solution

The fourth proportional to 1,026.74, 1,540.20 and 368.76 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.74 : 1,540.20 = 368.76 : x
  2. Step 2: Convert to fraction form
    1,026.74/1,540.20 = 368.76/x
  3. Step 3: Cross multiply
    1,026.74x = 1,540.20 × 368.76
  4. Step 4: Simplify right side
    1,026.74x = 567,964.15
  5. Step 5: Solve for x
    x = 567,964.15/1,026.74
  6. Step 6: Final answer
    x = 553.17

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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.