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Finding the Fourth Proportional to 1,578.79, 2,367.37 and 538.35

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Solution

The fourth proportional to 1,578.79, 2,367.37 and 538.35 is: 807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.79 : 2,367.37 = 538.35 : x
  2. Step 2: Convert to fraction form
    1,578.79/2,367.37 = 538.35/x
  3. Step 3: Cross multiply
    1,578.79x = 2,367.37 × 538.35
  4. Step 4: Simplify right side
    1,578.79x = 1,274,473.64
  5. Step 5: Solve for x
    x = 1,274,473.64/1,578.79
  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.