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Finding the Fourth Proportional to 601.64, 896.05 and 594.12

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Solution

The fourth proportional to 601.64, 896.05 and 594.12 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.64 : 896.05 = 594.12 : x
  2. Step 2: Convert to fraction form
    601.64/896.05 = 594.12/x
  3. Step 3: Cross multiply
    601.64x = 896.05 × 594.12
  4. Step 4: Simplify right side
    601.64x = 532,361.23
  5. Step 5: Solve for x
    x = 532,361.23/601.64
  6. Step 6: Final answer
    x = 884.85

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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.