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Finding the Fourth Proportional to 1,246.60, 1,868.94 and 424.36

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Solution

The fourth proportional to 1,246.60, 1,868.94 and 424.36 is: 636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.60 : 1,868.94 = 424.36 : x
  2. Step 2: Convert to fraction form
    1,246.60/1,868.94 = 424.36/x
  3. Step 3: Cross multiply
    1,246.60x = 1,868.94 × 424.36
  4. Step 4: Simplify right side
    1,246.60x = 793,103.38
  5. Step 5: Solve for x
    x = 793,103.38/1,246.60
  6. Step 6: Final answer
    x = 636.21

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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.