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Finding the Fourth Proportional to 1,387.71, 2,081.79 and 694.26

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Solution

The fourth proportional to 1,387.71, 2,081.79 and 694.26 is: 1,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.71 : 2,081.79 = 694.26 : x
  2. Step 2: Convert to fraction form
    1,387.71/2,081.79 = 694.26/x
  3. Step 3: Cross multiply
    1,387.71x = 2,081.79 × 694.26
  4. Step 4: Simplify right side
    1,387.71x = 1,445,303.53
  5. Step 5: Solve for x
    x = 1,445,303.53/1,387.71
  6. Step 6: Final answer
    x = 1,041.50

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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.