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Finding the Fourth Proportional to 1,353.28, 1,867.64 and 794.04

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Solution

The fourth proportional to 1,353.28, 1,867.64 and 794.04 is: 1,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.28 : 1,867.64 = 794.04 : x
  2. Step 2: Convert to fraction form
    1,353.28/1,867.64 = 794.04/x
  3. Step 3: Cross multiply
    1,353.28x = 1,867.64 × 794.04
  4. Step 4: Simplify right side
    1,353.28x = 1,482,980.87
  5. Step 5: Solve for x
    x = 1,482,980.87/1,353.28
  6. Step 6: Final answer
    x = 1,095.84

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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.