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Finding the Fourth Proportional to 716.06, 1,068.22 and 666.36

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Solution

The fourth proportional to 716.06, 1,068.22 and 666.36 is: 994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.06 : 1,068.22 = 666.36 : x
  2. Step 2: Convert to fraction form
    716.06/1,068.22 = 666.36/x
  3. Step 3: Cross multiply
    716.06x = 1,068.22 × 666.36
  4. Step 4: Simplify right side
    716.06x = 711,819.08
  5. Step 5: Solve for x
    x = 711,819.08/716.06
  6. Step 6: Final answer
    x = 994.08

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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.