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Finding the Fourth Proportional to 1,143.90, 1,714.56 and 777.78

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Solution

The fourth proportional to 1,143.90, 1,714.56 and 777.78 is: 1,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.90 : 1,714.56 = 777.78 : x
  2. Step 2: Convert to fraction form
    1,143.90/1,714.56 = 777.78/x
  3. Step 3: Cross multiply
    1,143.90x = 1,714.56 × 777.78
  4. Step 4: Simplify right side
    1,143.90x = 1,333,550.48
  5. Step 5: Solve for x
    x = 1,333,550.48/1,143.90
  6. Step 6: Final answer
    x = 1,165.79

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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.