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Finding the Fourth Proportional to 877.66, 1,211.23 and 523.49

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Solution

The fourth proportional to 877.66, 1,211.23 and 523.49 is: 722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.66 : 1,211.23 = 523.49 : x
  2. Step 2: Convert to fraction form
    877.66/1,211.23 = 523.49/x
  3. Step 3: Cross multiply
    877.66x = 1,211.23 × 523.49
  4. Step 4: Simplify right side
    877.66x = 634,066.79
  5. Step 5: Solve for x
    x = 634,066.79/877.66
  6. Step 6: Final answer
    x = 722.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.