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Finding the Fourth Proportional to 1,567.47, 2,350.98 and 527.43

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Solution

The fourth proportional to 1,567.47, 2,350.98 and 527.43 is: 791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.47 : 2,350.98 = 527.43 : x
  2. Step 2: Convert to fraction form
    1,567.47/2,350.98 = 527.43/x
  3. Step 3: Cross multiply
    1,567.47x = 2,350.98 × 527.43
  4. Step 4: Simplify right side
    1,567.47x = 1,239,977.38
  5. Step 5: Solve for x
    x = 1,239,977.38/1,567.47
  6. Step 6: Final answer
    x = 791.07

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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.