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Finding the Fourth Proportional to 1,387.45, 1,914.22 and 890.36

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Solution

The fourth proportional to 1,387.45, 1,914.22 and 890.36 is: 1,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.45 : 1,914.22 = 890.36 : x
  2. Step 2: Convert to fraction form
    1,387.45/1,914.22 = 890.36/x
  3. Step 3: Cross multiply
    1,387.45x = 1,914.22 × 890.36
  4. Step 4: Simplify right side
    1,387.45x = 1,704,344.92
  5. Step 5: Solve for x
    x = 1,704,344.92/1,387.45
  6. Step 6: Final answer
    x = 1,228.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.