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Finding the Fourth Proportional to 959.86, 1,439.65 and 596.98

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Solution

The fourth proportional to 959.86, 1,439.65 and 596.98 is: 895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.86 : 1,439.65 = 596.98 : x
  2. Step 2: Convert to fraction form
    959.86/1,439.65 = 596.98/x
  3. Step 3: Cross multiply
    959.86x = 1,439.65 × 596.98
  4. Step 4: Simplify right side
    959.86x = 859,442.26
  5. Step 5: Solve for x
    x = 859,442.26/959.86
  6. Step 6: Final answer
    x = 895.38

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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.