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Finding the Fourth Proportional to 601.80, 896.48 and 583.68

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Solution

The fourth proportional to 601.80, 896.48 and 583.68 is: 869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.80 : 896.48 = 583.68 : x
  2. Step 2: Convert to fraction form
    601.80/896.48 = 583.68/x
  3. Step 3: Cross multiply
    601.80x = 896.48 × 583.68
  4. Step 4: Simplify right side
    601.80x = 523,257.45
  5. Step 5: Solve for x
    x = 523,257.45/601.80
  6. Step 6: Final answer
    x = 869.49

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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.