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Finding the Fourth Proportional to 788.14, 1,087.48 and 526

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Solution

The fourth proportional to 788.14, 1,087.48 and 526 is: 725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.14 : 1,087.48 = 526 : x
  2. Step 2: Convert to fraction form
    788.14/1,087.48 = 526/x
  3. Step 3: Cross multiply
    788.14x = 1,087.48 × 526
  4. Step 4: Simplify right side
    788.14x = 572,014.48
  5. Step 5: Solve for x
    x = 572,014.48/788.14
  6. Step 6: Final answer
    x = 725.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.