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Finding the Fourth Proportional to 1,276.30, 1,914.63 and 627.07

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Solution

The fourth proportional to 1,276.30, 1,914.63 and 627.07 is: 940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.30 : 1,914.63 = 627.07 : x
  2. Step 2: Convert to fraction form
    1,276.30/1,914.63 = 627.07/x
  3. Step 3: Cross multiply
    1,276.30x = 1,914.63 × 627.07
  4. Step 4: Simplify right side
    1,276.30x = 1,200,607.03
  5. Step 5: Solve for x
    x = 1,200,607.03/1,276.30
  6. Step 6: Final answer
    x = 940.69

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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.