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Finding the Fourth Proportional to 1,395.60, 2,092.56 and 470.90

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Solution

The fourth proportional to 1,395.60, 2,092.56 and 470.90 is: 706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.60 : 2,092.56 = 470.90 : x
  2. Step 2: Convert to fraction form
    1,395.60/2,092.56 = 470.90/x
  3. Step 3: Cross multiply
    1,395.60x = 2,092.56 × 470.90
  4. Step 4: Simplify right side
    1,395.60x = 985,386.50
  5. Step 5: Solve for x
    x = 985,386.50/1,395.60
  6. Step 6: Final answer
    x = 706.07

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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.