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Finding the Fourth Proportional to 1,356.02, 2,034.30 and 490.40

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Solution

The fourth proportional to 1,356.02, 2,034.30 and 490.40 is: 735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.02 : 2,034.30 = 490.40 : x
  2. Step 2: Convert to fraction form
    1,356.02/2,034.30 = 490.40/x
  3. Step 3: Cross multiply
    1,356.02x = 2,034.30 × 490.40
  4. Step 4: Simplify right side
    1,356.02x = 997,620.72
  5. Step 5: Solve for x
    x = 997,620.72/1,356.02
  6. Step 6: Final answer
    x = 735.70

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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.