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Finding the Fourth Proportional to 602.60, 898.79 and 584.37

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Solution

The fourth proportional to 602.60, 898.79 and 584.37 is: 871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.60 : 898.79 = 584.37 : x
  2. Step 2: Convert to fraction form
    602.60/898.79 = 584.37/x
  3. Step 3: Cross multiply
    602.60x = 898.79 × 584.37
  4. Step 4: Simplify right side
    602.60x = 525,222.99
  5. Step 5: Solve for x
    x = 525,222.99/602.60
  6. Step 6: Final answer
    x = 871.60

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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.