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Finding the Fourth Proportional to 1,214.36, 1,821.53 and 969.74

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Solution

The fourth proportional to 1,214.36, 1,821.53 and 969.74 is: 1,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.36 : 1,821.53 = 969.74 : x
  2. Step 2: Convert to fraction form
    1,214.36/1,821.53 = 969.74/x
  3. Step 3: Cross multiply
    1,214.36x = 1,821.53 × 969.74
  4. Step 4: Simplify right side
    1,214.36x = 1,766,410.50
  5. Step 5: Solve for x
    x = 1,766,410.50/1,214.36
  6. Step 6: Final answer
    x = 1,454.60

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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.