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Finding the Fourth Proportional to 601.85, 901.06 and 544.19

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Solution

The fourth proportional to 601.85, 901.06 and 544.19 is: 814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.85 : 901.06 = 544.19 : x
  2. Step 2: Convert to fraction form
    601.85/901.06 = 544.19/x
  3. Step 3: Cross multiply
    601.85x = 901.06 × 544.19
  4. Step 4: Simplify right side
    601.85x = 490,341.98
  5. Step 5: Solve for x
    x = 490,341.98/601.85
  6. Step 6: Final answer
    x = 814.72

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Why These Related Problems?

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