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Finding the Fourth Proportional to 1,230.01, 1,697.70 and 706.03

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Solution

The fourth proportional to 1,230.01, 1,697.70 and 706.03 is: 974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.01 : 1,697.70 = 706.03 : x
  2. Step 2: Convert to fraction form
    1,230.01/1,697.70 = 706.03/x
  3. Step 3: Cross multiply
    1,230.01x = 1,697.70 × 706.03
  4. Step 4: Simplify right side
    1,230.01x = 1,198,627.13
  5. Step 5: Solve for x
    x = 1,198,627.13/1,230.01
  6. Step 6: Final answer
    x = 974.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.