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Finding the Fourth Proportional to 876.12, 1,314.36 and 259.83

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Solution

The fourth proportional to 876.12, 1,314.36 and 259.83 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.12 : 1,314.36 = 259.83 : x
  2. Step 2: Convert to fraction form
    876.12/1,314.36 = 259.83/x
  3. Step 3: Cross multiply
    876.12x = 1,314.36 × 259.83
  4. Step 4: Simplify right side
    876.12x = 341,510.16
  5. Step 5: Solve for x
    x = 341,510.16/876.12
  6. Step 6: Final answer
    x = 389.80

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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.