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Finding the Fourth Proportional to 659.42, 909.80 and 511.80

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Solution

The fourth proportional to 659.42, 909.80 and 511.80 is: 706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.42 : 909.80 = 511.80 : x
  2. Step 2: Convert to fraction form
    659.42/909.80 = 511.80/x
  3. Step 3: Cross multiply
    659.42x = 909.80 × 511.80
  4. Step 4: Simplify right side
    659.42x = 465,635.64
  5. Step 5: Solve for x
    x = 465,635.64/659.42
  6. Step 6: Final answer
    x = 706.13

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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.