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Finding the Fourth Proportional to 876.02, 1,314.11 and 259.76

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Solution

The fourth proportional to 876.02, 1,314.11 and 259.76 is: 389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.02 : 1,314.11 = 259.76 : x
  2. Step 2: Convert to fraction form
    876.02/1,314.11 = 259.76/x
  3. Step 3: Cross multiply
    876.02x = 1,314.11 × 259.76
  4. Step 4: Simplify right side
    876.02x = 341,356.89
  5. Step 5: Solve for x
    x = 341,356.89/876.02
  6. Step 6: Final answer
    x = 389.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.