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Finding the Fourth Proportional to 1,143.56, 1,712.10 and 777.80

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Solution

The fourth proportional to 1,143.56, 1,712.10 and 777.80 is: 1,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.56 : 1,712.10 = 777.80 : x
  2. Step 2: Convert to fraction form
    1,143.56/1,712.10 = 777.80/x
  3. Step 3: Cross multiply
    1,143.56x = 1,712.10 × 777.80
  4. Step 4: Simplify right side
    1,143.56x = 1,331,671.38
  5. Step 5: Solve for x
    x = 1,331,671.38/1,143.56
  6. Step 6: Final answer
    x = 1,164.50

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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.