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Finding the Fourth Proportional to 876.10, 1,313.80 and 355.96

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Solution

The fourth proportional to 876.10, 1,313.80 and 355.96 is: 533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.10 : 1,313.80 = 355.96 : x
  2. Step 2: Convert to fraction form
    876.10/1,313.80 = 355.96/x
  3. Step 3: Cross multiply
    876.10x = 1,313.80 × 355.96
  4. Step 4: Simplify right side
    876.10x = 467,660.25
  5. Step 5: Solve for x
    x = 467,660.25/876.10
  6. Step 6: Final answer
    x = 533.80

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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.