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Finding the Fourth Proportional to 835.24, 1,252.05 and 526.12

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Solution

The fourth proportional to 835.24, 1,252.05 and 526.12 is: 788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.24 : 1,252.05 = 526.12 : x
  2. Step 2: Convert to fraction form
    835.24/1,252.05 = 526.12/x
  3. Step 3: Cross multiply
    835.24x = 1,252.05 × 526.12
  4. Step 4: Simplify right side
    835.24x = 658,728.55
  5. Step 5: Solve for x
    x = 658,728.55/835.24
  6. Step 6: Final answer
    x = 788.67

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Why These Related Problems?

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