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Finding the Fourth Proportional to 1,297.40, 1,945.02 and 906.26

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Solution

The fourth proportional to 1,297.40, 1,945.02 and 906.26 is: 1,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.40 : 1,945.02 = 906.26 : x
  2. Step 2: Convert to fraction form
    1,297.40/1,945.02 = 906.26/x
  3. Step 3: Cross multiply
    1,297.40x = 1,945.02 × 906.26
  4. Step 4: Simplify right side
    1,297.40x = 1,762,693.83
  5. Step 5: Solve for x
    x = 1,762,693.83/1,297.40
  6. Step 6: Final answer
    x = 1,358.64

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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.