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Finding the Fourth Proportional to 1,143.47, 1,577.97 and 646.11

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Solution

The fourth proportional to 1,143.47, 1,577.97 and 646.11 is: 891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.47 : 1,577.97 = 646.11 : x
  2. Step 2: Convert to fraction form
    1,143.47/1,577.97 = 646.11/x
  3. Step 3: Cross multiply
    1,143.47x = 1,577.97 × 646.11
  4. Step 4: Simplify right side
    1,143.47x = 1,019,534.31
  5. Step 5: Solve for x
    x = 1,019,534.31/1,143.47
  6. Step 6: Final answer
    x = 891.62

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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.