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Finding the Fourth Proportional to 1,159.68, 1,739.08 and 466.11

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Solution

The fourth proportional to 1,159.68, 1,739.08 and 466.11 is: 698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.68 : 1,739.08 = 466.11 : x
  2. Step 2: Convert to fraction form
    1,159.68/1,739.08 = 466.11/x
  3. Step 3: Cross multiply
    1,159.68x = 1,739.08 × 466.11
  4. Step 4: Simplify right side
    1,159.68x = 810,605.04
  5. Step 5: Solve for x
    x = 810,605.04/1,159.68
  6. Step 6: Final answer
    x = 698.99

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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.