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Finding the Fourth Proportional to 963.86, 1,329.95 and 590.90

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Solution

The fourth proportional to 963.86, 1,329.95 and 590.90 is: 815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.86 : 1,329.95 = 590.90 : x
  2. Step 2: Convert to fraction form
    963.86/1,329.95 = 590.90/x
  3. Step 3: Cross multiply
    963.86x = 1,329.95 × 590.90
  4. Step 4: Simplify right side
    963.86x = 785,864.50
  5. Step 5: Solve for x
    x = 785,864.50/963.86
  6. Step 6: Final answer
    x = 815.33

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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.