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Finding the Fourth Proportional to 1,377.24, 2,065.84 and 555.36

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Solution

The fourth proportional to 1,377.24, 2,065.84 and 555.36 is: 833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.24 : 2,065.84 = 555.36 : x
  2. Step 2: Convert to fraction form
    1,377.24/2,065.84 = 555.36/x
  3. Step 3: Cross multiply
    1,377.24x = 2,065.84 × 555.36
  4. Step 4: Simplify right side
    1,377.24x = 1,147,284.90
  5. Step 5: Solve for x
    x = 1,147,284.90/1,377.24
  6. Step 6: Final answer
    x = 833.03

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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.