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Finding the Fourth Proportional to 657.15, 906.80 and 526.11

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Solution

The fourth proportional to 657.15, 906.80 and 526.11 is: 725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.15 : 906.80 = 526.11 : x
  2. Step 2: Convert to fraction form
    657.15/906.80 = 526.11/x
  3. Step 3: Cross multiply
    657.15x = 906.80 × 526.11
  4. Step 4: Simplify right side
    657.15x = 477,073.92
  5. Step 5: Solve for x
    x = 477,073.92/657.15
  6. Step 6: Final answer
    x = 725.97

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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.