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Finding the Fourth Proportional to 901.73, 1,243.14 and 569.99

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Solution

The fourth proportional to 901.73, 1,243.14 and 569.99 is: 785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.73 : 1,243.14 = 569.99 : x
  2. Step 2: Convert to fraction form
    901.73/1,243.14 = 569.99/x
  3. Step 3: Cross multiply
    901.73x = 1,243.14 × 569.99
  4. Step 4: Simplify right side
    901.73x = 708,577.37
  5. Step 5: Solve for x
    x = 708,577.37/901.73
  6. Step 6: Final answer
    x = 785.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.