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Finding the Fourth Proportional to 1,143.36, 1,706.58 and 1,026.72

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Solution

The fourth proportional to 1,143.36, 1,706.58 and 1,026.72 is: 1,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.36 : 1,706.58 = 1,026.72 : x
  2. Step 2: Convert to fraction form
    1,143.36/1,706.58 = 1,026.72/x
  3. Step 3: Cross multiply
    1,143.36x = 1,706.58 × 1,026.72
  4. Step 4: Simplify right side
    1,143.36x = 1,752,179.82
  5. Step 5: Solve for x
    x = 1,752,179.82/1,143.36
  6. Step 6: Final answer
    x = 1,532.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.