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Finding the Fourth Proportional to 1,147, 1,582.86 and 816.52

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Solution

The fourth proportional to 1,147, 1,582.86 and 816.52 is: 1,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147 : 1,582.86 = 816.52 : x
  2. Step 2: Convert to fraction form
    1,147/1,582.86 = 816.52/x
  3. Step 3: Cross multiply
    1,147x = 1,582.86 × 816.52
  4. Step 4: Simplify right side
    1,147x = 1,292,436.85
  5. Step 5: Solve for x
    x = 1,292,436.85/1,147
  6. Step 6: Final answer
    x = 1,126.80

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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.