Home / 1,377.03-2,065.85-646.21

Finding the Fourth Proportional to 1,377.03, 2,065.85 and 646.21

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Solution

The fourth proportional to 1,377.03, 2,065.85 and 646.21 is: 969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.03 : 2,065.85 = 646.21 : x
  2. Step 2: Convert to fraction form
    1,377.03/2,065.85 = 646.21/x
  3. Step 3: Cross multiply
    1,377.03x = 2,065.85 × 646.21
  4. Step 4: Simplify right side
    1,377.03x = 1,334,978.34
  5. Step 5: Solve for x
    x = 1,334,978.34/1,377.03
  6. Step 6: Final answer
    x = 969.46

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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.