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Finding the Fourth Proportional to 1,280.58, 1,921.05 and 631.32

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Solution

The fourth proportional to 1,280.58, 1,921.05 and 631.32 is: 947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.58 : 1,921.05 = 631.32 : x
  2. Step 2: Convert to fraction form
    1,280.58/1,921.05 = 631.32/x
  3. Step 3: Cross multiply
    1,280.58x = 1,921.05 × 631.32
  4. Step 4: Simplify right side
    1,280.58x = 1,212,797.29
  5. Step 5: Solve for x
    x = 1,212,797.29/1,280.58
  6. Step 6: Final answer
    x = 947.07

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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.