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Finding the Fourth Proportional to 713.92, 1,071.93 and 617.18

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Solution

The fourth proportional to 713.92, 1,071.93 and 617.18 is: 926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.92 : 1,071.93 = 617.18 : x
  2. Step 2: Convert to fraction form
    713.92/1,071.93 = 617.18/x
  3. Step 3: Cross multiply
    713.92x = 1,071.93 × 617.18
  4. Step 4: Simplify right side
    713.92x = 661,573.76
  5. Step 5: Solve for x
    x = 661,573.76/713.92
  6. Step 6: Final answer
    x = 926.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.