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Finding the Fourth Proportional to 1,603.32, 2,405.40 and 678.91

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Solution

The fourth proportional to 1,603.32, 2,405.40 and 678.91 is: 1,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.32 : 2,405.40 = 678.91 : x
  2. Step 2: Convert to fraction form
    1,603.32/2,405.40 = 678.91/x
  3. Step 3: Cross multiply
    1,603.32x = 2,405.40 × 678.91
  4. Step 4: Simplify right side
    1,603.32x = 1,633,046.72
  5. Step 5: Solve for x
    x = 1,633,046.72/1,603.32
  6. Step 6: Final answer
    x = 1,018.54

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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.