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Finding the Fourth Proportional to 601.86, 897.88 and 585.12

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Solution

The fourth proportional to 601.86, 897.88 and 585.12 is: 872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.86 : 897.88 = 585.12 : x
  2. Step 2: Convert to fraction form
    601.86/897.88 = 585.12/x
  3. Step 3: Cross multiply
    601.86x = 897.88 × 585.12
  4. Step 4: Simplify right side
    601.86x = 525,362.60
  5. Step 5: Solve for x
    x = 525,362.60/601.86
  6. Step 6: Final answer
    x = 872.90

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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.