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Finding the Fourth Proportional to 901.51, 1,244.12 and 569.82

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Solution

The fourth proportional to 901.51, 1,244.12 and 569.82 is: 786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.51 : 1,244.12 = 569.82 : x
  2. Step 2: Convert to fraction form
    901.51/1,244.12 = 569.82/x
  3. Step 3: Cross multiply
    901.51x = 1,244.12 × 569.82
  4. Step 4: Simplify right side
    901.51x = 708,918.24
  5. Step 5: Solve for x
    x = 708,918.24/901.51
  6. Step 6: Final answer
    x = 786.37

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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.