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Finding the Fourth Proportional to 1,567.53, 2,351.26 and 471.85

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Solution

The fourth proportional to 1,567.53, 2,351.26 and 471.85 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.53 : 2,351.26 = 471.85 : x
  2. Step 2: Convert to fraction form
    1,567.53/2,351.26 = 471.85/x
  3. Step 3: Cross multiply
    1,567.53x = 2,351.26 × 471.85
  4. Step 4: Simplify right side
    1,567.53x = 1,109,442.03
  5. Step 5: Solve for x
    x = 1,109,442.03/1,567.53
  6. Step 6: Final answer
    x = 707.76

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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.