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Finding the Fourth Proportional to 835.50, 1,153.26 and 525

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Solution

The fourth proportional to 835.50, 1,153.26 and 525 is: 724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.50 : 1,153.26 = 525 : x
  2. Step 2: Convert to fraction form
    835.50/1,153.26 = 525/x
  3. Step 3: Cross multiply
    835.50x = 1,153.26 × 525
  4. Step 4: Simplify right side
    835.50x = 605,461.50
  5. Step 5: Solve for x
    x = 605,461.50/835.50
  6. Step 6: Final answer
    x = 724.67

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Why These Related Problems?

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