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Finding the Fourth Proportional to 877.23, 1,211.14 and 546.11

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Solution

The fourth proportional to 877.23, 1,211.14 and 546.11 is: 753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.23 : 1,211.14 = 546.11 : x
  2. Step 2: Convert to fraction form
    877.23/1,211.14 = 546.11/x
  3. Step 3: Cross multiply
    877.23x = 1,211.14 × 546.11
  4. Step 4: Simplify right side
    877.23x = 661,415.67
  5. Step 5: Solve for x
    x = 661,415.67/877.23
  6. Step 6: Final answer
    x = 753.98

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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.