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Finding the Fourth Proportional to 1,603.15, 2,405.82 and 563.15

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Solution

The fourth proportional to 1,603.15, 2,405.82 and 563.15 is: 845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.15 : 2,405.82 = 563.15 : x
  2. Step 2: Convert to fraction form
    1,603.15/2,405.82 = 563.15/x
  3. Step 3: Cross multiply
    1,603.15x = 2,405.82 × 563.15
  4. Step 4: Simplify right side
    1,603.15x = 1,354,837.53
  5. Step 5: Solve for x
    x = 1,354,837.53/1,603.15
  6. Step 6: Final answer
    x = 845.11

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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.