Home / 1,159.92-1,739.52-466.56

Finding the Fourth Proportional to 1,159.92, 1,739.52 and 466.56

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Solution

The fourth proportional to 1,159.92, 1,739.52 and 466.56 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.92 : 1,739.52 = 466.56 : x
  2. Step 2: Convert to fraction form
    1,159.92/1,739.52 = 466.56/x
  3. Step 3: Cross multiply
    1,159.92x = 1,739.52 × 466.56
  4. Step 4: Simplify right side
    1,159.92x = 811,590.45
  5. Step 5: Solve for x
    x = 811,590.45/1,159.92
  6. Step 6: Final answer
    x = 699.70

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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.