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Finding the Fourth Proportional to 1,603.66, 2,406.85 and 630.44

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Solution

The fourth proportional to 1,603.66, 2,406.85 and 630.44 is: 946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.66 : 2,406.85 = 630.44 : x
  2. Step 2: Convert to fraction form
    1,603.66/2,406.85 = 630.44/x
  3. Step 3: Cross multiply
    1,603.66x = 2,406.85 × 630.44
  4. Step 4: Simplify right side
    1,603.66x = 1,517,374.51
  5. Step 5: Solve for x
    x = 1,517,374.51/1,603.66
  6. Step 6: Final answer
    x = 946.19

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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.