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Finding the Fourth Proportional to 601.74, 897.46 and 591.34

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Solution

The fourth proportional to 601.74, 897.46 and 591.34 is: 881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 897.46 = 591.34 : x
  2. Step 2: Convert to fraction form
    601.74/897.46 = 591.34/x
  3. Step 3: Cross multiply
    601.74x = 897.46 × 591.34
  4. Step 4: Simplify right side
    601.74x = 530,704.00
  5. Step 5: Solve for x
    x = 530,704.00/601.74
  6. Step 6: Final answer
    x = 881.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.