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Finding the Fourth Proportional to 1,230.03, 1,697.40 and 705.96

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Solution

The fourth proportional to 1,230.03, 1,697.40 and 705.96 is: 974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.03 : 1,697.40 = 705.96 : x
  2. Step 2: Convert to fraction form
    1,230.03/1,697.40 = 705.96/x
  3. Step 3: Cross multiply
    1,230.03x = 1,697.40 × 705.96
  4. Step 4: Simplify right side
    1,230.03x = 1,198,296.50
  5. Step 5: Solve for x
    x = 1,198,296.50/1,230.03
  6. Step 6: Final answer
    x = 974.20

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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.