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Finding the Fourth Proportional to 1,735.18, 2,603.07 and 761.96

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Solution

The fourth proportional to 1,735.18, 2,603.07 and 761.96 is: 1,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.18 : 2,603.07 = 761.96 : x
  2. Step 2: Convert to fraction form
    1,735.18/2,603.07 = 761.96/x
  3. Step 3: Cross multiply
    1,735.18x = 2,603.07 × 761.96
  4. Step 4: Simplify right side
    1,735.18x = 1,983,441.72
  5. Step 5: Solve for x
    x = 1,983,441.72/1,735.18
  6. Step 6: Final answer
    x = 1,143.08

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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.