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Finding the Fourth Proportional to 877.59, 1,211.04 and 523.66

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Solution

The fourth proportional to 877.59, 1,211.04 and 523.66 is: 722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.59 : 1,211.04 = 523.66 : x
  2. Step 2: Convert to fraction form
    877.59/1,211.04 = 523.66/x
  3. Step 3: Cross multiply
    877.59x = 1,211.04 × 523.66
  4. Step 4: Simplify right side
    877.59x = 634,173.21
  5. Step 5: Solve for x
    x = 634,173.21/877.59
  6. Step 6: Final answer
    x = 722.63

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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.