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Finding the Fourth Proportional to 900.08, 1,241.64 and 526.94

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Solution

The fourth proportional to 900.08, 1,241.64 and 526.94 is: 726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.08 : 1,241.64 = 526.94 : x
  2. Step 2: Convert to fraction form
    900.08/1,241.64 = 526.94/x
  3. Step 3: Cross multiply
    900.08x = 1,241.64 × 526.94
  4. Step 4: Simplify right side
    900.08x = 654,269.78
  5. Step 5: Solve for x
    x = 654,269.78/900.08
  6. Step 6: Final answer
    x = 726.90

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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.