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Finding the Fourth Proportional to 1,215.94, 1,824.93 and 631.30

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Solution

The fourth proportional to 1,215.94, 1,824.93 and 631.30 is: 947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.94 : 1,824.93 = 631.30 : x
  2. Step 2: Convert to fraction form
    1,215.94/1,824.93 = 631.30/x
  3. Step 3: Cross multiply
    1,215.94x = 1,824.93 × 631.30
  4. Step 4: Simplify right side
    1,215.94x = 1,152,082.17
  5. Step 5: Solve for x
    x = 1,152,082.17/1,215.94
  6. Step 6: Final answer
    x = 947.48

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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.