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Finding the Fourth Proportional to 876.06, 1,314.35 and 259.78

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Solution

The fourth proportional to 876.06, 1,314.35 and 259.78 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.06 : 1,314.35 = 259.78 : x
  2. Step 2: Convert to fraction form
    876.06/1,314.35 = 259.78/x
  3. Step 3: Cross multiply
    876.06x = 1,314.35 × 259.78
  4. Step 4: Simplify right side
    876.06x = 341,442.19
  5. Step 5: Solve for x
    x = 341,442.19/876.06
  6. Step 6: Final answer
    x = 389.75

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