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Finding the Fourth Proportional to 743.75, 1,114.72 and 526.88

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Solution

The fourth proportional to 743.75, 1,114.72 and 526.88 is: 789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.75 : 1,114.72 = 526.88 : x
  2. Step 2: Convert to fraction form
    743.75/1,114.72 = 526.88/x
  3. Step 3: Cross multiply
    743.75x = 1,114.72 × 526.88
  4. Step 4: Simplify right side
    743.75x = 587,316.78
  5. Step 5: Solve for x
    x = 587,316.78/743.75
  6. Step 6: Final answer
    x = 789.67

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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.