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Finding the Fourth Proportional to 788.89, 1,088.15 and 493.65

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Solution

The fourth proportional to 788.89, 1,088.15 and 493.65 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.89 : 1,088.15 = 493.65 : x
  2. Step 2: Convert to fraction form
    788.89/1,088.15 = 493.65/x
  3. Step 3: Cross multiply
    788.89x = 1,088.15 × 493.65
  4. Step 4: Simplify right side
    788.89x = 537,165.25
  5. Step 5: Solve for x
    x = 537,165.25/788.89
  6. Step 6: Final answer
    x = 680.91

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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.