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Finding the Fourth Proportional to 601.89, 897.75 and 583.66

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Solution

The fourth proportional to 601.89, 897.75 and 583.66 is: 870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.89 : 897.75 = 583.66 : x
  2. Step 2: Convert to fraction form
    601.89/897.75 = 583.66/x
  3. Step 3: Cross multiply
    601.89x = 897.75 × 583.66
  4. Step 4: Simplify right side
    601.89x = 523,980.77
  5. Step 5: Solve for x
    x = 523,980.77/601.89
  6. Step 6: Final answer
    x = 870.56

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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.