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Finding the Fourth Proportional to 1,246.59, 1,869.21 and 424.98

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Solution

The fourth proportional to 1,246.59, 1,869.21 and 424.98 is: 637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.59 : 1,869.21 = 424.98 : x
  2. Step 2: Convert to fraction form
    1,246.59/1,869.21 = 424.98/x
  3. Step 3: Cross multiply
    1,246.59x = 1,869.21 × 424.98
  4. Step 4: Simplify right side
    1,246.59x = 794,376.87
  5. Step 5: Solve for x
    x = 794,376.87/1,246.59
  6. Step 6: Final answer
    x = 637.24

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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.