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Finding the Fourth Proportional to 1,284.18, 1,924.64 and 626.22

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Solution

The fourth proportional to 1,284.18, 1,924.64 and 626.22 is: 938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.18 : 1,924.64 = 626.22 : x
  2. Step 2: Convert to fraction form
    1,284.18/1,924.64 = 626.22/x
  3. Step 3: Cross multiply
    1,284.18x = 1,924.64 × 626.22
  4. Step 4: Simplify right side
    1,284.18x = 1,205,248.06
  5. Step 5: Solve for x
    x = 1,205,248.06/1,284.18
  6. Step 6: Final answer
    x = 938.54

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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.