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Finding the Fourth Proportional to 788.58, 1,188.82 and 735.74

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Solution

The fourth proportional to 788.58, 1,188.82 and 735.74 is: 1,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.58 : 1,188.82 = 735.74 : x
  2. Step 2: Convert to fraction form
    788.58/1,188.82 = 735.74/x
  3. Step 3: Cross multiply
    788.58x = 1,188.82 × 735.74
  4. Step 4: Simplify right side
    788.58x = 874,662.43
  5. Step 5: Solve for x
    x = 874,662.43/788.58
  6. Step 6: Final answer
    x = 1,109.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.