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Finding the Fourth Proportional to 740.54, 1,110.81 and 705.92

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Solution

The fourth proportional to 740.54, 1,110.81 and 705.92 is: 1,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.54 : 1,110.81 = 705.92 : x
  2. Step 2: Convert to fraction form
    740.54/1,110.81 = 705.92/x
  3. Step 3: Cross multiply
    740.54x = 1,110.81 × 705.92
  4. Step 4: Simplify right side
    740.54x = 784,137.44
  5. Step 5: Solve for x
    x = 784,137.44/740.54
  6. Step 6: Final answer
    x = 1,058.88

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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.