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Finding the Fourth Proportional to 725.23, 1,089.16 and 695.87

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Solution

The fourth proportional to 725.23, 1,089.16 and 695.87 is: 1,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.23 : 1,089.16 = 695.87 : x
  2. Step 2: Convert to fraction form
    725.23/1,089.16 = 695.87/x
  3. Step 3: Cross multiply
    725.23x = 1,089.16 × 695.87
  4. Step 4: Simplify right side
    725.23x = 757,913.77
  5. Step 5: Solve for x
    x = 757,913.77/725.23
  6. Step 6: Final answer
    x = 1,045.07

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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.