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Finding the Fourth Proportional to 899.46, 1,241.46 and 526.50

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Solution

The fourth proportional to 899.46, 1,241.46 and 526.50 is: 726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.46 : 1,241.46 = 526.50 : x
  2. Step 2: Convert to fraction form
    899.46/1,241.46 = 526.50/x
  3. Step 3: Cross multiply
    899.46x = 1,241.46 × 526.50
  4. Step 4: Simplify right side
    899.46x = 653,628.69
  5. Step 5: Solve for x
    x = 653,628.69/899.46
  6. Step 6: Final answer
    x = 726.69

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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.