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Finding the Fourth Proportional to 1,201.63, 1,802.45 and 471.55

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Solution

The fourth proportional to 1,201.63, 1,802.45 and 471.55 is: 707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.63 : 1,802.45 = 471.55 : x
  2. Step 2: Convert to fraction form
    1,201.63/1,802.45 = 471.55/x
  3. Step 3: Cross multiply
    1,201.63x = 1,802.45 × 471.55
  4. Step 4: Simplify right side
    1,201.63x = 849,942.94
  5. Step 5: Solve for x
    x = 849,942.94/1,201.63
  6. Step 6: Final answer
    x = 707.33

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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.