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Finding the Fourth Proportional to 719.92, 1,081.72 and 699.84

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Solution

The fourth proportional to 719.92, 1,081.72 and 699.84 is: 1,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.92 : 1,081.72 = 699.84 : x
  2. Step 2: Convert to fraction form
    719.92/1,081.72 = 699.84/x
  3. Step 3: Cross multiply
    719.92x = 1,081.72 × 699.84
  4. Step 4: Simplify right side
    719.92x = 757,030.92
  5. Step 5: Solve for x
    x = 757,030.92/719.92
  6. Step 6: Final answer
    x = 1,051.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.