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Finding the Fourth Proportional to 725.04, 1,088.46 and 586.26

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Solution

The fourth proportional to 725.04, 1,088.46 and 586.26 is: 880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.04 : 1,088.46 = 586.26 : x
  2. Step 2: Convert to fraction form
    725.04/1,088.46 = 586.26/x
  3. Step 3: Cross multiply
    725.04x = 1,088.46 × 586.26
  4. Step 4: Simplify right side
    725.04x = 638,120.56
  5. Step 5: Solve for x
    x = 638,120.56/725.04
  6. Step 6: Final answer
    x = 880.12

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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.