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Finding the Fourth Proportional to 659.88, 909.82 and 541.72

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Solution

The fourth proportional to 659.88, 909.82 and 541.72 is: 746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.88 : 909.82 = 541.72 : x
  2. Step 2: Convert to fraction form
    659.88/909.82 = 541.72/x
  3. Step 3: Cross multiply
    659.88x = 909.82 × 541.72
  4. Step 4: Simplify right side
    659.88x = 492,867.69
  5. Step 5: Solve for x
    x = 492,867.69/659.88
  6. Step 6: Final answer
    x = 746.91

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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.