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Finding the Fourth Proportional to 1,414.02, 1,950.84 and 793.02

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Solution

The fourth proportional to 1,414.02, 1,950.84 and 793.02 is: 1,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.02 : 1,950.84 = 793.02 : x
  2. Step 2: Convert to fraction form
    1,414.02/1,950.84 = 793.02/x
  3. Step 3: Cross multiply
    1,414.02x = 1,950.84 × 793.02
  4. Step 4: Simplify right side
    1,414.02x = 1,547,055.14
  5. Step 5: Solve for x
    x = 1,547,055.14/1,414.02
  6. Step 6: Final answer
    x = 1,094.08

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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.