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Finding the Fourth Proportional to 1,003.83, 1,384.47 and 767.85

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Solution

The fourth proportional to 1,003.83, 1,384.47 and 767.85 is: 1,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.83 : 1,384.47 = 767.85 : x
  2. Step 2: Convert to fraction form
    1,003.83/1,384.47 = 767.85/x
  3. Step 3: Cross multiply
    1,003.83x = 1,384.47 × 767.85
  4. Step 4: Simplify right side
    1,003.83x = 1,063,065.29
  5. Step 5: Solve for x
    x = 1,063,065.29/1,003.83
  6. Step 6: Final answer
    x = 1,059.01

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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.