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Finding the Fourth Proportional to 901.16, 1,243.64 and 569.46

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Solution

The fourth proportional to 901.16, 1,243.64 and 569.46 is: 785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.16 : 1,243.64 = 569.46 : x
  2. Step 2: Convert to fraction form
    901.16/1,243.64 = 569.46/x
  3. Step 3: Cross multiply
    901.16x = 1,243.64 × 569.46
  4. Step 4: Simplify right side
    901.16x = 708,203.23
  5. Step 5: Solve for x
    x = 708,203.23/901.16
  6. Step 6: Final answer
    x = 785.88

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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.