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Finding the Fourth Proportional to 788.90, 1,086.46 and 727.34

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Solution

The fourth proportional to 788.90, 1,086.46 and 727.34 is: 1,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.90 : 1,086.46 = 727.34 : x
  2. Step 2: Convert to fraction form
    788.90/1,086.46 = 727.34/x
  3. Step 3: Cross multiply
    788.90x = 1,086.46 × 727.34
  4. Step 4: Simplify right side
    788.90x = 790,225.82
  5. Step 5: Solve for x
    x = 790,225.82/788.90
  6. Step 6: Final answer
    x = 1,001.68

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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.