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Finding the Fourth Proportional to 1,143.60, 1,578.06 and 701.43

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Solution

The fourth proportional to 1,143.60, 1,578.06 and 701.43 is: 967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.60 : 1,578.06 = 701.43 : x
  2. Step 2: Convert to fraction form
    1,143.60/1,578.06 = 701.43/x
  3. Step 3: Cross multiply
    1,143.60x = 1,578.06 × 701.43
  4. Step 4: Simplify right side
    1,143.60x = 1,106,898.63
  5. Step 5: Solve for x
    x = 1,106,898.63/1,143.60
  6. Step 6: Final answer
    x = 967.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.