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Finding the Fourth Proportional to 1,280.34, 1,921.32 and 631.13

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Solution

The fourth proportional to 1,280.34, 1,921.32 and 631.13 is: 947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.34 : 1,921.32 = 631.13 : x
  2. Step 2: Convert to fraction form
    1,280.34/1,921.32 = 631.13/x
  3. Step 3: Cross multiply
    1,280.34x = 1,921.32 × 631.13
  4. Step 4: Simplify right side
    1,280.34x = 1,212,593.09
  5. Step 5: Solve for x
    x = 1,212,593.09/1,280.34
  6. Step 6: Final answer
    x = 947.09

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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.