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Finding the Fourth Proportional to 1,290.90, 1,781.36 and 731.42

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Solution

The fourth proportional to 1,290.90, 1,781.36 and 731.42 is: 1,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.90 : 1,781.36 = 731.42 : x
  2. Step 2: Convert to fraction form
    1,290.90/1,781.36 = 731.42/x
  3. Step 3: Cross multiply
    1,290.90x = 1,781.36 × 731.42
  4. Step 4: Simplify right side
    1,290.90x = 1,302,922.33
  5. Step 5: Solve for x
    x = 1,302,922.33/1,290.90
  6. Step 6: Final answer
    x = 1,009.31

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1.5x scale

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.