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Finding the Fourth Proportional to 1,567.49, 2,350.76 and 471.56

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Solution

The fourth proportional to 1,567.49, 2,350.76 and 471.56 is: 707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.49 : 2,350.76 = 471.56 : x
  2. Step 2: Convert to fraction form
    1,567.49/2,350.76 = 471.56/x
  3. Step 3: Cross multiply
    1,567.49x = 2,350.76 × 471.56
  4. Step 4: Simplify right side
    1,567.49x = 1,108,510.27
  5. Step 5: Solve for x
    x = 1,108,510.27/1,567.49
  6. Step 6: Final answer
    x = 707.19

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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.