Home / 1,164.02-1,743.14-675.59

Finding the Fourth Proportional to 1,164.02, 1,743.14 and 675.59

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Solution

The fourth proportional to 1,164.02, 1,743.14 and 675.59 is: 1,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.02 : 1,743.14 = 675.59 : x
  2. Step 2: Convert to fraction form
    1,164.02/1,743.14 = 675.59/x
  3. Step 3: Cross multiply
    1,164.02x = 1,743.14 × 675.59
  4. Step 4: Simplify right side
    1,164.02x = 1,177,640.93
  5. Step 5: Solve for x
    x = 1,177,640.93/1,164.02
  6. Step 6: Final answer
    x = 1,011.71

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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.