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Finding the Fourth Proportional to 788.23, 1,087.73 and 493.66

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Solution

The fourth proportional to 788.23, 1,087.73 and 493.66 is: 681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.23 : 1,087.73 = 493.66 : x
  2. Step 2: Convert to fraction form
    788.23/1,087.73 = 493.66/x
  3. Step 3: Cross multiply
    788.23x = 1,087.73 × 493.66
  4. Step 4: Simplify right side
    788.23x = 536,963.35
  5. Step 5: Solve for x
    x = 536,963.35/788.23
  6. Step 6: Final answer
    x = 681.23

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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.