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Finding the Fourth Proportional to 581.80, 876.98 and 548.34

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Solution

The fourth proportional to 581.80, 876.98 and 548.34 is: 826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.80 : 876.98 = 548.34 : x
  2. Step 2: Convert to fraction form
    581.80/876.98 = 548.34/x
  3. Step 3: Cross multiply
    581.80x = 876.98 × 548.34
  4. Step 4: Simplify right side
    581.80x = 480,883.21
  5. Step 5: Solve for x
    x = 480,883.21/581.80
  6. Step 6: Final answer
    x = 826.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.