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Finding the Fourth Proportional to 659.71, 910.06 and 612.80

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Solution

The fourth proportional to 659.71, 910.06 and 612.80 is: 845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.71 : 910.06 = 612.80 : x
  2. Step 2: Convert to fraction form
    659.71/910.06 = 612.80/x
  3. Step 3: Cross multiply
    659.71x = 910.06 × 612.80
  4. Step 4: Simplify right side
    659.71x = 557,684.77
  5. Step 5: Solve for x
    x = 557,684.77/659.71
  6. Step 6: Final answer
    x = 845.35

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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.