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Finding the Fourth Proportional to 746.62, 1,121.07 and 710.02

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Solution

The fourth proportional to 746.62, 1,121.07 and 710.02 is: 1,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.62 : 1,121.07 = 710.02 : x
  2. Step 2: Convert to fraction form
    746.62/1,121.07 = 710.02/x
  3. Step 3: Cross multiply
    746.62x = 1,121.07 × 710.02
  4. Step 4: Simplify right side
    746.62x = 795,982.12
  5. Step 5: Solve for x
    x = 795,982.12/746.62
  6. Step 6: Final answer
    x = 1,066.11

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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.