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Finding the Fourth Proportional to 707.45, 975.28 and 617.92

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Solution

The fourth proportional to 707.45, 975.28 and 617.92 is: 851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.45 : 975.28 = 617.92 : x
  2. Step 2: Convert to fraction form
    707.45/975.28 = 617.92/x
  3. Step 3: Cross multiply
    707.45x = 975.28 × 617.92
  4. Step 4: Simplify right side
    707.45x = 602,645.02
  5. Step 5: Solve for x
    x = 602,645.02/707.45
  6. Step 6: Final answer
    x = 851.86

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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.