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Finding the Fourth Proportional to 1,297.48, 1,946.01 and 475.33

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Solution

The fourth proportional to 1,297.48, 1,946.01 and 475.33 is: 712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.48 : 1,946.01 = 475.33 : x
  2. Step 2: Convert to fraction form
    1,297.48/1,946.01 = 475.33/x
  3. Step 3: Cross multiply
    1,297.48x = 1,946.01 × 475.33
  4. Step 4: Simplify right side
    1,297.48x = 924,987.20
  5. Step 5: Solve for x
    x = 924,987.20/1,297.48
  6. Step 6: Final answer
    x = 712.91

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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.