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Finding the Fourth Proportional to 1,390.16, 2,083.86 and 774.14

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Solution

The fourth proportional to 1,390.16, 2,083.86 and 774.14 is: 1,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.16 : 2,083.86 = 774.14 : x
  2. Step 2: Convert to fraction form
    1,390.16/2,083.86 = 774.14/x
  3. Step 3: Cross multiply
    1,390.16x = 2,083.86 × 774.14
  4. Step 4: Simplify right side
    1,390.16x = 1,613,199.38
  5. Step 5: Solve for x
    x = 1,613,199.38/1,390.16
  6. Step 6: Final answer
    x = 1,160.44

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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.