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Finding the Fourth Proportional to 1,246.40, 1,869.64 and 424.76

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Solution

The fourth proportional to 1,246.40, 1,869.64 and 424.76 is: 637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.40 : 1,869.64 = 424.76 : x
  2. Step 2: Convert to fraction form
    1,246.40/1,869.64 = 424.76/x
  3. Step 3: Cross multiply
    1,246.40x = 1,869.64 × 424.76
  4. Step 4: Simplify right side
    1,246.40x = 794,148.29
  5. Step 5: Solve for x
    x = 794,148.29/1,246.40
  6. Step 6: Final answer
    x = 637.15

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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.