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Finding the Fourth Proportional to 602.82, 897.99 and 584.67

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Solution

The fourth proportional to 602.82, 897.99 and 584.67 is: 870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.82 : 897.99 = 584.67 : x
  2. Step 2: Convert to fraction form
    602.82/897.99 = 584.67/x
  3. Step 3: Cross multiply
    602.82x = 897.99 × 584.67
  4. Step 4: Simplify right side
    602.82x = 525,027.81
  5. Step 5: Solve for x
    x = 525,027.81/602.82
  6. Step 6: Final answer
    x = 870.95

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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.