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Finding the Fourth Proportional to 1,395.08, 2,092.83 and 470.57

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Solution

The fourth proportional to 1,395.08, 2,092.83 and 470.57 is: 705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.08 : 2,092.83 = 470.57 : x
  2. Step 2: Convert to fraction form
    1,395.08/2,092.83 = 470.57/x
  3. Step 3: Cross multiply
    1,395.08x = 2,092.83 × 470.57
  4. Step 4: Simplify right side
    1,395.08x = 984,812.55
  5. Step 5: Solve for x
    x = 984,812.55/1,395.08
  6. Step 6: Final answer
    x = 705.92

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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.