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Finding the Fourth Proportional to 1,566, 2,349.45 and 578.91

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Solution

The fourth proportional to 1,566, 2,349.45 and 578.91 is: 868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 2,349.45 = 578.91 : x
  2. Step 2: Convert to fraction form
    1,566/2,349.45 = 578.91/x
  3. Step 3: Cross multiply
    1,566x = 2,349.45 × 578.91
  4. Step 4: Simplify right side
    1,566x = 1,360,120.10
  5. Step 5: Solve for x
    x = 1,360,120.10/1,566
  6. Step 6: Final answer
    x = 868.53

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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.