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Finding the Fourth Proportional to 876.23, 1,314.22 and 260

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Solution

The fourth proportional to 876.23, 1,314.22 and 260 is: 389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.23 : 1,314.22 = 260 : x
  2. Step 2: Convert to fraction form
    876.23/1,314.22 = 260/x
  3. Step 3: Cross multiply
    876.23x = 1,314.22 × 260
  4. Step 4: Simplify right side
    876.23x = 341,697.20
  5. Step 5: Solve for x
    x = 341,697.20/876.23
  6. Step 6: Final answer
    x = 389.96

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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.