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Finding the Fourth Proportional to 894.60, 1,235.12 and 558.86

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Solution

The fourth proportional to 894.60, 1,235.12 and 558.86 is: 771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.60 : 1,235.12 = 558.86 : x
  2. Step 2: Convert to fraction form
    894.60/1,235.12 = 558.86/x
  3. Step 3: Cross multiply
    894.60x = 1,235.12 × 558.86
  4. Step 4: Simplify right side
    894.60x = 690,250.19
  5. Step 5: Solve for x
    x = 690,250.19/894.60
  6. Step 6: Final answer
    x = 771.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.