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Finding the Fourth Proportional to 1,054.47, 1,578.63 and 614.38

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Solution

The fourth proportional to 1,054.47, 1,578.63 and 614.38 is: 919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.47 : 1,578.63 = 614.38 : x
  2. Step 2: Convert to fraction form
    1,054.47/1,578.63 = 614.38/x
  3. Step 3: Cross multiply
    1,054.47x = 1,578.63 × 614.38
  4. Step 4: Simplify right side
    1,054.47x = 969,874.75
  5. Step 5: Solve for x
    x = 969,874.75/1,054.47
  6. Step 6: Final answer
    x = 919.77

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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.