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Finding the Fourth Proportional to 1,208.48, 1,813.80 and 631.76

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Solution

The fourth proportional to 1,208.48, 1,813.80 and 631.76 is: 948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.48 : 1,813.80 = 631.76 : x
  2. Step 2: Convert to fraction form
    1,208.48/1,813.80 = 631.76/x
  3. Step 3: Cross multiply
    1,208.48x = 1,813.80 × 631.76
  4. Step 4: Simplify right side
    1,208.48x = 1,145,886.29
  5. Step 5: Solve for x
    x = 1,145,886.29/1,208.48
  6. Step 6: Final answer
    x = 948.20

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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.