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Finding the Fourth Proportional to 911.49, 1,368.50 and 473.05

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Solution

The fourth proportional to 911.49, 1,368.50 and 473.05 is: 710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.49 : 1,368.50 = 473.05 : x
  2. Step 2: Convert to fraction form
    911.49/1,368.50 = 473.05/x
  3. Step 3: Cross multiply
    911.49x = 1,368.50 × 473.05
  4. Step 4: Simplify right side
    911.49x = 647,368.93
  5. Step 5: Solve for x
    x = 647,368.93/911.49
  6. Step 6: Final answer
    x = 710.23

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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.