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Finding the Fourth Proportional to 723.03, 1,076.49 and 712.80

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Solution

The fourth proportional to 723.03, 1,076.49 and 712.80 is: 1,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.03 : 1,076.49 = 712.80 : x
  2. Step 2: Convert to fraction form
    723.03/1,076.49 = 712.80/x
  3. Step 3: Cross multiply
    723.03x = 1,076.49 × 712.80
  4. Step 4: Simplify right side
    723.03x = 767,322.07
  5. Step 5: Solve for x
    x = 767,322.07/723.03
  6. Step 6: Final answer
    x = 1,061.26

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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.