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Finding the Fourth Proportional to 788.35, 1,087.69 and 493.61

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Solution

The fourth proportional to 788.35, 1,087.69 and 493.61 is: 681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.35 : 1,087.69 = 493.61 : x
  2. Step 2: Convert to fraction form
    788.35/1,087.69 = 493.61/x
  3. Step 3: Cross multiply
    788.35x = 1,087.69 × 493.61
  4. Step 4: Simplify right side
    788.35x = 536,898.02
  5. Step 5: Solve for x
    x = 536,898.02/788.35
  6. Step 6: Final answer
    x = 681.04

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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.