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Finding the Fourth Proportional to 1,406.70, 1,941.37 and 817.22

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Solution

The fourth proportional to 1,406.70, 1,941.37 and 817.22 is: 1,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.70 : 1,941.37 = 817.22 : x
  2. Step 2: Convert to fraction form
    1,406.70/1,941.37 = 817.22/x
  3. Step 3: Cross multiply
    1,406.70x = 1,941.37 × 817.22
  4. Step 4: Simplify right side
    1,406.70x = 1,586,529.20
  5. Step 5: Solve for x
    x = 1,586,529.20/1,406.70
  6. Step 6: Final answer
    x = 1,127.84

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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.