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Finding the Fourth Proportional to 1,406.94, 2,110.35 and 833.46

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Solution

The fourth proportional to 1,406.94, 2,110.35 and 833.46 is: 1,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.94 : 2,110.35 = 833.46 : x
  2. Step 2: Convert to fraction form
    1,406.94/2,110.35 = 833.46/x
  3. Step 3: Cross multiply
    1,406.94x = 2,110.35 × 833.46
  4. Step 4: Simplify right side
    1,406.94x = 1,758,892.31
  5. Step 5: Solve for x
    x = 1,758,892.31/1,406.94
  6. Step 6: Final answer
    x = 1,250.15

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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.