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Finding the Fourth Proportional to 1,567.50, 2,351.49 and 471.84

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Solution

The fourth proportional to 1,567.50, 2,351.49 and 471.84 is: 707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.50 : 2,351.49 = 471.84 : x
  2. Step 2: Convert to fraction form
    1,567.50/2,351.49 = 471.84/x
  3. Step 3: Cross multiply
    1,567.50x = 2,351.49 × 471.84
  4. Step 4: Simplify right side
    1,567.50x = 1,109,527.04
  5. Step 5: Solve for x
    x = 1,109,527.04/1,567.50
  6. Step 6: Final answer
    x = 707.83

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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.