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Finding the Fourth Proportional to 1,603.70, 2,403.12 and 781.58

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Solution

The fourth proportional to 1,603.70, 2,403.12 and 781.58 is: 1,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.70 : 2,403.12 = 781.58 : x
  2. Step 2: Convert to fraction form
    1,603.70/2,403.12 = 781.58/x
  3. Step 3: Cross multiply
    1,603.70x = 2,403.12 × 781.58
  4. Step 4: Simplify right side
    1,603.70x = 1,878,230.53
  5. Step 5: Solve for x
    x = 1,878,230.53/1,603.70
  6. Step 6: Final answer
    x = 1,171.19

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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.