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Finding the Fourth Proportional to 1,284.60, 1,922.85 and 920.10

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Solution

The fourth proportional to 1,284.60, 1,922.85 and 920.10 is: 1,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.60 : 1,922.85 = 920.10 : x
  2. Step 2: Convert to fraction form
    1,284.60/1,922.85 = 920.10/x
  3. Step 3: Cross multiply
    1,284.60x = 1,922.85 × 920.10
  4. Step 4: Simplify right side
    1,284.60x = 1,769,214.29
  5. Step 5: Solve for x
    x = 1,769,214.29/1,284.60
  6. Step 6: Final answer
    x = 1,377.25

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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.