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Finding the Fourth Proportional to 966.99, 1,448.87 and 532.83

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Solution

The fourth proportional to 966.99, 1,448.87 and 532.83 is: 798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.99 : 1,448.87 = 532.83 : x
  2. Step 2: Convert to fraction form
    966.99/1,448.87 = 532.83/x
  3. Step 3: Cross multiply
    966.99x = 1,448.87 × 532.83
  4. Step 4: Simplify right side
    966.99x = 771,998.74
  5. Step 5: Solve for x
    x = 771,998.74/966.99
  6. Step 6: Final answer
    x = 798.35

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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.