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Finding the Fourth Proportional to 899.92, 1,241.66 and 526.74

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Solution

The fourth proportional to 899.92, 1,241.66 and 526.74 is: 726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.92 : 1,241.66 = 526.74 : x
  2. Step 2: Convert to fraction form
    899.92/1,241.66 = 526.74/x
  3. Step 3: Cross multiply
    899.92x = 1,241.66 × 526.74
  4. Step 4: Simplify right side
    899.92x = 654,031.99
  5. Step 5: Solve for x
    x = 654,031.99/899.92
  6. Step 6: Final answer
    x = 726.77

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