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Finding the Fourth Proportional to 1,246.25, 1,869.37 and 368.81

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Solution

The fourth proportional to 1,246.25, 1,869.37 and 368.81 is: 553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.25 : 1,869.37 = 368.81 : x
  2. Step 2: Convert to fraction form
    1,246.25/1,869.37 = 368.81/x
  3. Step 3: Cross multiply
    1,246.25x = 1,869.37 × 368.81
  4. Step 4: Simplify right side
    1,246.25x = 689,446.10
  5. Step 5: Solve for x
    x = 689,446.10/1,246.25
  6. Step 6: Final answer
    x = 553.22

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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.