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Finding the Fourth Proportional to 1,211.40, 1,813.86 and 633.06

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Solution

The fourth proportional to 1,211.40, 1,813.86 and 633.06 is: 947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.40 : 1,813.86 = 633.06 : x
  2. Step 2: Convert to fraction form
    1,211.40/1,813.86 = 633.06/x
  3. Step 3: Cross multiply
    1,211.40x = 1,813.86 × 633.06
  4. Step 4: Simplify right side
    1,211.40x = 1,148,282.21
  5. Step 5: Solve for x
    x = 1,148,282.21/1,211.40
  6. Step 6: Final answer
    x = 947.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.