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Finding the Fourth Proportional to 1,578.29, 2,367.53 and 538.14

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Solution

The fourth proportional to 1,578.29, 2,367.53 and 538.14 is: 807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.29 : 2,367.53 = 538.14 : x
  2. Step 2: Convert to fraction form
    1,578.29/2,367.53 = 538.14/x
  3. Step 3: Cross multiply
    1,578.29x = 2,367.53 × 538.14
  4. Step 4: Simplify right side
    1,578.29x = 1,274,070.80
  5. Step 5: Solve for x
    x = 1,274,070.80/1,578.29
  6. Step 6: Final answer
    x = 807.25

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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.