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Finding the Fourth Proportional to 1,143.07, 1,577.56 and 824.31

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Solution

The fourth proportional to 1,143.07, 1,577.56 and 824.31 is: 1,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.07 : 1,577.56 = 824.31 : x
  2. Step 2: Convert to fraction form
    1,143.07/1,577.56 = 824.31/x
  3. Step 3: Cross multiply
    1,143.07x = 1,577.56 × 824.31
  4. Step 4: Simplify right side
    1,143.07x = 1,300,390.51
  5. Step 5: Solve for x
    x = 1,300,390.51/1,143.07
  6. Step 6: Final answer
    x = 1,137.63

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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.