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Finding the Fourth Proportional to 598.75, 898.87 and 571.05

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Solution

The fourth proportional to 598.75, 898.87 and 571.05 is: 857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.75 : 898.87 = 571.05 : x
  2. Step 2: Convert to fraction form
    598.75/898.87 = 571.05/x
  3. Step 3: Cross multiply
    598.75x = 898.87 × 571.05
  4. Step 4: Simplify right side
    598.75x = 513,299.71
  5. Step 5: Solve for x
    x = 513,299.71/598.75
  6. Step 6: Final answer
    x = 857.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.