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Finding the Fourth Proportional to 660.06, 909.75 and 512.41

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Solution

The fourth proportional to 660.06, 909.75 and 512.41 is: 706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.06 : 909.75 = 512.41 : x
  2. Step 2: Convert to fraction form
    660.06/909.75 = 512.41/x
  3. Step 3: Cross multiply
    660.06x = 909.75 × 512.41
  4. Step 4: Simplify right side
    660.06x = 466,165.00
  5. Step 5: Solve for x
    x = 466,165.00/660.06
  6. Step 6: Final answer
    x = 706.25

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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.