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Finding the Fourth Proportional to 1,347.80, 2,022.28 and 567.98

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Solution

The fourth proportional to 1,347.80, 2,022.28 and 567.98 is: 852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.80 : 2,022.28 = 567.98 : x
  2. Step 2: Convert to fraction form
    1,347.80/2,022.28 = 567.98/x
  3. Step 3: Cross multiply
    1,347.80x = 2,022.28 × 567.98
  4. Step 4: Simplify right side
    1,347.80x = 1,148,614.59
  5. Step 5: Solve for x
    x = 1,148,614.59/1,347.80
  6. Step 6: Final answer
    x = 852.21

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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.