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Finding the Fourth Proportional to 1,003.14, 1,501.83 and 772.92

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Solution

The fourth proportional to 1,003.14, 1,501.83 and 772.92 is: 1,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.14 : 1,501.83 = 772.92 : x
  2. Step 2: Convert to fraction form
    1,003.14/1,501.83 = 772.92/x
  3. Step 3: Cross multiply
    1,003.14x = 1,501.83 × 772.92
  4. Step 4: Simplify right side
    1,003.14x = 1,160,794.44
  5. Step 5: Solve for x
    x = 1,160,794.44/1,003.14
  6. Step 6: Final answer
    x = 1,157.16

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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.