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Finding the Fourth Proportional to 717.60, 1,071.20 and 666.96

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Solution

The fourth proportional to 717.60, 1,071.20 and 666.96 is: 995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.60 : 1,071.20 = 666.96 : x
  2. Step 2: Convert to fraction form
    717.60/1,071.20 = 666.96/x
  3. Step 3: Cross multiply
    717.60x = 1,071.20 × 666.96
  4. Step 4: Simplify right side
    717.60x = 714,444.22
  5. Step 5: Solve for x
    x = 714,444.22/717.60
  6. Step 6: Final answer
    x = 995.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.