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Finding the Fourth Proportional to 877.76, 1,211.23 and 499.67

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Solution

The fourth proportional to 877.76, 1,211.23 and 499.67 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.76 : 1,211.23 = 499.67 : x
  2. Step 2: Convert to fraction form
    877.76/1,211.23 = 499.67/x
  3. Step 3: Cross multiply
    877.76x = 1,211.23 × 499.67
  4. Step 4: Simplify right side
    877.76x = 605,215.29
  5. Step 5: Solve for x
    x = 605,215.29/877.76
  6. Step 6: Final answer
    x = 689.50

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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.