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Finding the Fourth Proportional to 1,279.34, 1,765.32 and 719.72

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Solution

The fourth proportional to 1,279.34, 1,765.32 and 719.72 is: 993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.34 : 1,765.32 = 719.72 : x
  2. Step 2: Convert to fraction form
    1,279.34/1,765.32 = 719.72/x
  3. Step 3: Cross multiply
    1,279.34x = 1,765.32 × 719.72
  4. Step 4: Simplify right side
    1,279.34x = 1,270,536.11
  5. Step 5: Solve for x
    x = 1,270,536.11/1,279.34
  6. Step 6: Final answer
    x = 993.12

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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.