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Finding the Fourth Proportional to 788.12, 1,087.84 and 526.90

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Solution

The fourth proportional to 788.12, 1,087.84 and 526.90 is: 727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.12 : 1,087.84 = 526.90 : x
  2. Step 2: Convert to fraction form
    788.12/1,087.84 = 526.90/x
  3. Step 3: Cross multiply
    788.12x = 1,087.84 × 526.90
  4. Step 4: Simplify right side
    788.12x = 573,181.39
  5. Step 5: Solve for x
    x = 573,181.39/788.12
  6. Step 6: Final answer
    x = 727.27

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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.