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Finding the Fourth Proportional to 1,327.95, 1,832.54 and 738.50

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Solution

The fourth proportional to 1,327.95, 1,832.54 and 738.50 is: 1,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.95 : 1,832.54 = 738.50 : x
  2. Step 2: Convert to fraction form
    1,327.95/1,832.54 = 738.50/x
  3. Step 3: Cross multiply
    1,327.95x = 1,832.54 × 738.50
  4. Step 4: Simplify right side
    1,327.95x = 1,353,317.93
  5. Step 5: Solve for x
    x = 1,353,317.93/1,327.95
  6. Step 6: Final answer
    x = 1,019.10

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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.