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Finding the Fourth Proportional to 1,394, 2,090.69 and 690.51

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Solution

The fourth proportional to 1,394, 2,090.69 and 690.51 is: 1,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394 : 2,090.69 = 690.51 : x
  2. Step 2: Convert to fraction form
    1,394/2,090.69 = 690.51/x
  3. Step 3: Cross multiply
    1,394x = 2,090.69 × 690.51
  4. Step 4: Simplify right side
    1,394x = 1,443,642.35
  5. Step 5: Solve for x
    x = 1,443,642.35/1,394
  6. Step 6: Final answer
    x = 1,035.61

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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.