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Finding the Fourth Proportional to 1,427.01, 1,966.20 and 960.45

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Solution

The fourth proportional to 1,427.01, 1,966.20 and 960.45 is: 1,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.01 : 1,966.20 = 960.45 : x
  2. Step 2: Convert to fraction form
    1,427.01/1,966.20 = 960.45/x
  3. Step 3: Cross multiply
    1,427.01x = 1,966.20 × 960.45
  4. Step 4: Simplify right side
    1,427.01x = 1,888,436.79
  5. Step 5: Solve for x
    x = 1,888,436.79/1,427.01
  6. Step 6: Final answer
    x = 1,323.35

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1.5x scale

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.