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Finding the Fourth Proportional to 1,369.16, 2,053.87 and 395.40

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Solution

The fourth proportional to 1,369.16, 2,053.87 and 395.40 is: 593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.16 : 2,053.87 = 395.40 : x
  2. Step 2: Convert to fraction form
    1,369.16/2,053.87 = 395.40/x
  3. Step 3: Cross multiply
    1,369.16x = 2,053.87 × 395.40
  4. Step 4: Simplify right side
    1,369.16x = 812,100.20
  5. Step 5: Solve for x
    x = 812,100.20/1,369.16
  6. Step 6: Final answer
    x = 593.14

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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.