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Finding the Fourth Proportional to 1,159.58, 1,739.03 and 466.03

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Solution

The fourth proportional to 1,159.58, 1,739.03 and 466.03 is: 698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.58 : 1,739.03 = 466.03 : x
  2. Step 2: Convert to fraction form
    1,159.58/1,739.03 = 466.03/x
  3. Step 3: Cross multiply
    1,159.58x = 1,739.03 × 466.03
  4. Step 4: Simplify right side
    1,159.58x = 810,429.13
  5. Step 5: Solve for x
    x = 810,429.13/1,159.58
  6. Step 6: Final answer
    x = 698.90

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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.