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Finding the Fourth Proportional to 1,410.74, 2,113.02 and 794.10

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Solution

The fourth proportional to 1,410.74, 2,113.02 and 794.10 is: 1,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.74 : 2,113.02 = 794.10 : x
  2. Step 2: Convert to fraction form
    1,410.74/2,113.02 = 794.10/x
  3. Step 3: Cross multiply
    1,410.74x = 2,113.02 × 794.10
  4. Step 4: Simplify right side
    1,410.74x = 1,677,949.18
  5. Step 5: Solve for x
    x = 1,677,949.18/1,410.74
  6. Step 6: Final answer
    x = 1,189.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.