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Finding the Fourth Proportional to 901.70, 1,243.88 and 569.56

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Solution

The fourth proportional to 901.70, 1,243.88 and 569.56 is: 785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.70 : 1,243.88 = 569.56 : x
  2. Step 2: Convert to fraction form
    901.70/1,243.88 = 569.56/x
  3. Step 3: Cross multiply
    901.70x = 1,243.88 × 569.56
  4. Step 4: Simplify right side
    901.70x = 708,464.29
  5. Step 5: Solve for x
    x = 708,464.29/901.70
  6. Step 6: Final answer
    x = 785.70

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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.