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Finding the Fourth Proportional to 788.49, 1,088.91 and 688.77

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Solution

The fourth proportional to 788.49, 1,088.91 and 688.77 is: 951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.49 : 1,088.91 = 688.77 : x
  2. Step 2: Convert to fraction form
    788.49/1,088.91 = 688.77/x
  3. Step 3: Cross multiply
    788.49x = 1,088.91 × 688.77
  4. Step 4: Simplify right side
    788.49x = 750,008.54
  5. Step 5: Solve for x
    x = 750,008.54/788.49
  6. Step 6: Final answer
    x = 951.20

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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.