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Finding the Fourth Proportional to 1,131.70, 1,696.38 and 473.96

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Solution

The fourth proportional to 1,131.70, 1,696.38 and 473.96 is: 710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.70 : 1,696.38 = 473.96 : x
  2. Step 2: Convert to fraction form
    1,131.70/1,696.38 = 473.96/x
  3. Step 3: Cross multiply
    1,131.70x = 1,696.38 × 473.96
  4. Step 4: Simplify right side
    1,131.70x = 804,023.11
  5. Step 5: Solve for x
    x = 804,023.11/1,131.70
  6. Step 6: Final answer
    x = 710.46

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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.