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Finding the Fourth Proportional to 1,202.23, 1,802.53 and 471.61

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Solution

The fourth proportional to 1,202.23, 1,802.53 and 471.61 is: 707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.23 : 1,802.53 = 471.61 : x
  2. Step 2: Convert to fraction form
    1,202.23/1,802.53 = 471.61/x
  3. Step 3: Cross multiply
    1,202.23x = 1,802.53 × 471.61
  4. Step 4: Simplify right side
    1,202.23x = 850,091.17
  5. Step 5: Solve for x
    x = 850,091.17/1,202.23
  6. Step 6: Final answer
    x = 707.10

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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.