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Finding the Fourth Proportional to 1,230.06, 1,697.57 and 706.13

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Solution

The fourth proportional to 1,230.06, 1,697.57 and 706.13 is: 974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.06 : 1,697.57 = 706.13 : x
  2. Step 2: Convert to fraction form
    1,230.06/1,697.57 = 706.13/x
  3. Step 3: Cross multiply
    1,230.06x = 1,697.57 × 706.13
  4. Step 4: Simplify right side
    1,230.06x = 1,198,705.10
  5. Step 5: Solve for x
    x = 1,198,705.10/1,230.06
  6. Step 6: Final answer
    x = 974.51

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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.