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Finding the Fourth Proportional to 662.70, 1,001.16 and 662.70

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Solution

The fourth proportional to 662.70, 1,001.16 and 662.70 is: 1,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.70 : 1,001.16 = 662.70 : x
  2. Step 2: Convert to fraction form
    662.70/1,001.16 = 662.70/x
  3. Step 3: Cross multiply
    662.70x = 1,001.16 × 662.70
  4. Step 4: Simplify right side
    662.70x = 663,465.42
  5. Step 5: Solve for x
    x = 663,465.42/662.70
  6. Step 6: Final answer
    x = 1,001.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.