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Finding the Fourth Proportional to 1,353.60, 1,868.02 and 794.14

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Solution

The fourth proportional to 1,353.60, 1,868.02 and 794.14 is: 1,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.60 : 1,868.02 = 794.14 : x
  2. Step 2: Convert to fraction form
    1,353.60/1,868.02 = 794.14/x
  3. Step 3: Cross multiply
    1,353.60x = 1,868.02 × 794.14
  4. Step 4: Simplify right side
    1,353.60x = 1,483,462.75
  5. Step 5: Solve for x
    x = 1,483,462.75/1,353.60
  6. Step 6: Final answer
    x = 1,095.94

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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.