Home / 1,377.14-2,066.19-646.82

Finding the Fourth Proportional to 1,377.14, 2,066.19 and 646.82

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Solution

The fourth proportional to 1,377.14, 2,066.19 and 646.82 is: 970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.14 : 2,066.19 = 646.82 : x
  2. Step 2: Convert to fraction form
    1,377.14/2,066.19 = 646.82/x
  3. Step 3: Cross multiply
    1,377.14x = 2,066.19 × 646.82
  4. Step 4: Simplify right side
    1,377.14x = 1,336,453.02
  5. Step 5: Solve for x
    x = 1,336,453.02/1,377.14
  6. Step 6: Final answer
    x = 970.46

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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.