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Finding the Fourth Proportional to 1,281.98, 1,769.43 and 751.12

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Solution

The fourth proportional to 1,281.98, 1,769.43 and 751.12 is: 1,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.98 : 1,769.43 = 751.12 : x
  2. Step 2: Convert to fraction form
    1,281.98/1,769.43 = 751.12/x
  3. Step 3: Cross multiply
    1,281.98x = 1,769.43 × 751.12
  4. Step 4: Simplify right side
    1,281.98x = 1,329,054.26
  5. Step 5: Solve for x
    x = 1,329,054.26/1,281.98
  6. Step 6: Final answer
    x = 1,036.72

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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.