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Finding the Fourth Proportional to 1,364.06, 2,045.03 and 634.16

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Solution

The fourth proportional to 1,364.06, 2,045.03 and 634.16 is: 950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.06 : 2,045.03 = 634.16 : x
  2. Step 2: Convert to fraction form
    1,364.06/2,045.03 = 634.16/x
  3. Step 3: Cross multiply
    1,364.06x = 2,045.03 × 634.16
  4. Step 4: Simplify right side
    1,364.06x = 1,296,878.17
  5. Step 5: Solve for x
    x = 1,296,878.17/1,364.06
  6. Step 6: Final answer
    x = 950.75

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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.