Home / 1,297.14-1,945.20-475.23

Finding the Fourth Proportional to 1,297.14, 1,945.20 and 475.23

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Solution

The fourth proportional to 1,297.14, 1,945.20 and 475.23 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.14 : 1,945.20 = 475.23 : x
  2. Step 2: Convert to fraction form
    1,297.14/1,945.20 = 475.23/x
  3. Step 3: Cross multiply
    1,297.14x = 1,945.20 × 475.23
  4. Step 4: Simplify right side
    1,297.14x = 924,417.40
  5. Step 5: Solve for x
    x = 924,417.40/1,297.14
  6. Step 6: Final answer
    x = 712.66

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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.