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Finding the Fourth Proportional to 1,089.66, 1,633.95 and 464.86

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Solution

The fourth proportional to 1,089.66, 1,633.95 and 464.86 is: 697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.66 : 1,633.95 = 464.86 : x
  2. Step 2: Convert to fraction form
    1,089.66/1,633.95 = 464.86/x
  3. Step 3: Cross multiply
    1,089.66x = 1,633.95 × 464.86
  4. Step 4: Simplify right side
    1,089.66x = 759,551.59
  5. Step 5: Solve for x
    x = 759,551.59/1,089.66
  6. Step 6: Final answer
    x = 697.06

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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.