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Finding the Fourth Proportional to 1,566, 2,349.14 and 411.75

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Solution

The fourth proportional to 1,566, 2,349.14 and 411.75 is: 617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 2,349.14 = 411.75 : x
  2. Step 2: Convert to fraction form
    1,566/2,349.14 = 411.75/x
  3. Step 3: Cross multiply
    1,566x = 2,349.14 × 411.75
  4. Step 4: Simplify right side
    1,566x = 967,256.34
  5. Step 5: Solve for x
    x = 967,256.34/1,566
  6. Step 6: Final answer
    x = 617.66

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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.