Home / 1,529.13-2,293.36-706.62

Finding the Fourth Proportional to 1,529.13, 2,293.36 and 706.62

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Solution

The fourth proportional to 1,529.13, 2,293.36 and 706.62 is: 1,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.13 : 2,293.36 = 706.62 : x
  2. Step 2: Convert to fraction form
    1,529.13/2,293.36 = 706.62/x
  3. Step 3: Cross multiply
    1,529.13x = 2,293.36 × 706.62
  4. Step 4: Simplify right side
    1,529.13x = 1,620,544.85
  5. Step 5: Solve for x
    x = 1,620,544.85/1,529.13
  6. Step 6: Final answer
    x = 1,059.78

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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.