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Finding the Fourth Proportional to 1,033.83, 1,426.86 and 999.65

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Solution

The fourth proportional to 1,033.83, 1,426.86 and 999.65 is: 1,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.83 : 1,426.86 = 999.65 : x
  2. Step 2: Convert to fraction form
    1,033.83/1,426.86 = 999.65/x
  3. Step 3: Cross multiply
    1,033.83x = 1,426.86 × 999.65
  4. Step 4: Simplify right side
    1,033.83x = 1,426,353.46
  5. Step 5: Solve for x
    x = 1,426,353.46/1,033.83
  6. Step 6: Final answer
    x = 1,379.68

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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.