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Finding the Fourth Proportional to 966.32, 1,449.47 and 584.00

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Solution

The fourth proportional to 966.32, 1,449.47 and 584.00 is: 875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.32 : 1,449.47 = 584.00 : x
  2. Step 2: Convert to fraction form
    966.32/1,449.47 = 584.00/x
  3. Step 3: Cross multiply
    966.32x = 1,449.47 × 584.00
  4. Step 4: Simplify right side
    966.32x = 846,484.69
  5. Step 5: Solve for x
    x = 846,484.69/966.32
  6. Step 6: Final answer
    x = 875.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.