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Finding the Fourth Proportional to 1,159.62, 1,739.64 and 466.34

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Solution

The fourth proportional to 1,159.62, 1,739.64 and 466.34 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.62 : 1,739.64 = 466.34 : x
  2. Step 2: Convert to fraction form
    1,159.62/1,739.64 = 466.34/x
  3. Step 3: Cross multiply
    1,159.62x = 1,739.64 × 466.34
  4. Step 4: Simplify right side
    1,159.62x = 811,252.69
  5. Step 5: Solve for x
    x = 811,252.69/1,159.62
  6. Step 6: Final answer
    x = 699.59

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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.