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Finding the Fourth Proportional to 1,143.73, 1,714.74 and 595.57

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Solution

The fourth proportional to 1,143.73, 1,714.74 and 595.57 is: 892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.73 : 1,714.74 = 595.57 : x
  2. Step 2: Convert to fraction form
    1,143.73/1,714.74 = 595.57/x
  3. Step 3: Cross multiply
    1,143.73x = 1,714.74 × 595.57
  4. Step 4: Simplify right side
    1,143.73x = 1,021,247.70
  5. Step 5: Solve for x
    x = 1,021,247.70/1,143.73
  6. Step 6: Final answer
    x = 892.91

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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.