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Finding the Fourth Proportional to 787.31, 1,178.90 and 526.89

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Solution

The fourth proportional to 787.31, 1,178.90 and 526.89 is: 788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.31 : 1,178.90 = 526.89 : x
  2. Step 2: Convert to fraction form
    787.31/1,178.90 = 526.89/x
  3. Step 3: Cross multiply
    787.31x = 1,178.90 × 526.89
  4. Step 4: Simplify right side
    787.31x = 621,150.62
  5. Step 5: Solve for x
    x = 621,150.62/787.31
  6. Step 6: Final answer
    x = 788.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.