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Finding the Fourth Proportional to 1,735.71, 2,603.95 and 503.17

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Solution

The fourth proportional to 1,735.71, 2,603.95 and 503.17 is: 754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.71 : 2,603.95 = 503.17 : x
  2. Step 2: Convert to fraction form
    1,735.71/2,603.95 = 503.17/x
  3. Step 3: Cross multiply
    1,735.71x = 2,603.95 × 503.17
  4. Step 4: Simplify right side
    1,735.71x = 1,310,221.75
  5. Step 5: Solve for x
    x = 1,310,221.75/1,735.71
  6. Step 6: Final answer
    x = 754.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.