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Finding the Fourth Proportional to 1,085.20, 1,624.48 and 596.77

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Solution

The fourth proportional to 1,085.20, 1,624.48 and 596.77 is: 893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.20 : 1,624.48 = 596.77 : x
  2. Step 2: Convert to fraction form
    1,085.20/1,624.48 = 596.77/x
  3. Step 3: Cross multiply
    1,085.20x = 1,624.48 × 596.77
  4. Step 4: Simplify right side
    1,085.20x = 969,440.93
  5. Step 5: Solve for x
    x = 969,440.93/1,085.20
  6. Step 6: Final answer
    x = 893.33

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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.