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Finding the Fourth Proportional to 815.52, 1,221.12 and 526.08

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Solution

The fourth proportional to 815.52, 1,221.12 and 526.08 is: 787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.52 : 1,221.12 = 526.08 : x
  2. Step 2: Convert to fraction form
    815.52/1,221.12 = 526.08/x
  3. Step 3: Cross multiply
    815.52x = 1,221.12 × 526.08
  4. Step 4: Simplify right side
    815.52x = 642,406.81
  5. Step 5: Solve for x
    x = 642,406.81/815.52
  6. Step 6: Final answer
    x = 787.73

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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.