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Finding the Fourth Proportional to 876.40, 1,313.72 and 616.40

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Solution

The fourth proportional to 876.40, 1,313.72 and 616.40 is: 923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,313.72 = 616.40 : x
  2. Step 2: Convert to fraction form
    876.40/1,313.72 = 616.40/x
  3. Step 3: Cross multiply
    876.40x = 1,313.72 × 616.40
  4. Step 4: Simplify right side
    876.40x = 809,777.01
  5. Step 5: Solve for x
    x = 809,777.01/876.40
  6. Step 6: Final answer
    x = 923.98

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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.