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Finding the Fourth Proportional to 1,279.07, 1,765.16 and 719.53

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Solution

The fourth proportional to 1,279.07, 1,765.16 and 719.53 is: 992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.07 : 1,765.16 = 719.53 : x
  2. Step 2: Convert to fraction form
    1,279.07/1,765.16 = 719.53/x
  3. Step 3: Cross multiply
    1,279.07x = 1,765.16 × 719.53
  4. Step 4: Simplify right side
    1,279.07x = 1,270,085.57
  5. Step 5: Solve for x
    x = 1,270,085.57/1,279.07
  6. Step 6: Final answer
    x = 992.98

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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.