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Finding the Fourth Proportional to 598.86, 893.97 and 574.56

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Solution

The fourth proportional to 598.86, 893.97 and 574.56 is: 857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 893.97 = 574.56 : x
  2. Step 2: Convert to fraction form
    598.86/893.97 = 574.56/x
  3. Step 3: Cross multiply
    598.86x = 893.97 × 574.56
  4. Step 4: Simplify right side
    598.86x = 513,639.40
  5. Step 5: Solve for x
    x = 513,639.40/598.86
  6. Step 6: Final answer
    x = 857.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.