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Finding the Fourth Proportional to 1,270.32, 1,905.63 and 490.14

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Solution

The fourth proportional to 1,270.32, 1,905.63 and 490.14 is: 735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.32 : 1,905.63 = 490.14 : x
  2. Step 2: Convert to fraction form
    1,270.32/1,905.63 = 490.14/x
  3. Step 3: Cross multiply
    1,270.32x = 1,905.63 × 490.14
  4. Step 4: Simplify right side
    1,270.32x = 934,025.49
  5. Step 5: Solve for x
    x = 934,025.49/1,270.32
  6. Step 6: Final answer
    x = 735.27

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1.5x scale

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.