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Finding the Fourth Proportional to 1,046.85, 1,440.36 and 906.51

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Solution

The fourth proportional to 1,046.85, 1,440.36 and 906.51 is: 1,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.85 : 1,440.36 = 906.51 : x
  2. Step 2: Convert to fraction form
    1,046.85/1,440.36 = 906.51/x
  3. Step 3: Cross multiply
    1,046.85x = 1,440.36 × 906.51
  4. Step 4: Simplify right side
    1,046.85x = 1,305,700.74
  5. Step 5: Solve for x
    x = 1,305,700.74/1,046.85
  6. Step 6: Final answer
    x = 1,247.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.