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Finding the Fourth Proportional to 1,353.54, 1,867.95 and 764.07

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Solution

The fourth proportional to 1,353.54, 1,867.95 and 764.07 is: 1,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.54 : 1,867.95 = 764.07 : x
  2. Step 2: Convert to fraction form
    1,353.54/1,867.95 = 764.07/x
  3. Step 3: Cross multiply
    1,353.54x = 1,867.95 × 764.07
  4. Step 4: Simplify right side
    1,353.54x = 1,427,244.56
  5. Step 5: Solve for x
    x = 1,427,244.56/1,353.54
  6. Step 6: Final answer
    x = 1,054.45

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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.