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Finding the Fourth Proportional to 1,400.04, 2,099.11 and 784.17

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Solution

The fourth proportional to 1,400.04, 2,099.11 and 784.17 is: 1,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.04 : 2,099.11 = 784.17 : x
  2. Step 2: Convert to fraction form
    1,400.04/2,099.11 = 784.17/x
  3. Step 3: Cross multiply
    1,400.04x = 2,099.11 × 784.17
  4. Step 4: Simplify right side
    1,400.04x = 1,646,059.09
  5. Step 5: Solve for x
    x = 1,646,059.09/1,400.04
  6. Step 6: Final answer
    x = 1,175.72

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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.