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Finding the Fourth Proportional to 788.76, 1,088.82 and 527.13

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Solution

The fourth proportional to 788.76, 1,088.82 and 527.13 is: 727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,088.82 = 527.13 : x
  2. Step 2: Convert to fraction form
    788.76/1,088.82 = 527.13/x
  3. Step 3: Cross multiply
    788.76x = 1,088.82 × 527.13
  4. Step 4: Simplify right side
    788.76x = 573,949.69
  5. Step 5: Solve for x
    x = 573,949.69/788.76
  6. Step 6: Final answer
    x = 727.66

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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.