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Finding the Fourth Proportional to 876.95, 1,313.63 and 546.81

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Solution

The fourth proportional to 876.95, 1,313.63 and 546.81 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.95 : 1,313.63 = 546.81 : x
  2. Step 2: Convert to fraction form
    876.95/1,313.63 = 546.81/x
  3. Step 3: Cross multiply
    876.95x = 1,313.63 × 546.81
  4. Step 4: Simplify right side
    876.95x = 718,306.02
  5. Step 5: Solve for x
    x = 718,306.02/876.95
  6. Step 6: Final answer
    x = 819.10

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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.