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Finding the Fourth Proportional to 1,578.66, 2,367.47 and 524.23

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Solution

The fourth proportional to 1,578.66, 2,367.47 and 524.23 is: 786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.66 : 2,367.47 = 524.23 : x
  2. Step 2: Convert to fraction form
    1,578.66/2,367.47 = 524.23/x
  3. Step 3: Cross multiply
    1,578.66x = 2,367.47 × 524.23
  4. Step 4: Simplify right side
    1,578.66x = 1,241,098.80
  5. Step 5: Solve for x
    x = 1,241,098.80/1,578.66
  6. Step 6: Final answer
    x = 786.17

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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.