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Finding the Fourth Proportional to 1,735.84, 2,603.77 and 437.31

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Solution

The fourth proportional to 1,735.84, 2,603.77 and 437.31 is: 655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.84 : 2,603.77 = 437.31 : x
  2. Step 2: Convert to fraction form
    1,735.84/2,603.77 = 437.31/x
  3. Step 3: Cross multiply
    1,735.84x = 2,603.77 × 437.31
  4. Step 4: Simplify right side
    1,735.84x = 1,138,654.66
  5. Step 5: Solve for x
    x = 1,138,654.66/1,735.84
  6. Step 6: Final answer
    x = 655.97

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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.