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Finding the Fourth Proportional to 740.24, 1,106.26 and 697.56

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Solution

The fourth proportional to 740.24, 1,106.26 and 697.56 is: 1,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.24 : 1,106.26 = 697.56 : x
  2. Step 2: Convert to fraction form
    740.24/1,106.26 = 697.56/x
  3. Step 3: Cross multiply
    740.24x = 1,106.26 × 697.56
  4. Step 4: Simplify right side
    740.24x = 771,682.73
  5. Step 5: Solve for x
    x = 771,682.73/740.24
  6. Step 6: Final answer
    x = 1,042.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.