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Finding the Fourth Proportional to 1,142.58, 1,577.15 and 723.63

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Solution

The fourth proportional to 1,142.58, 1,577.15 and 723.63 is: 998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.58 : 1,577.15 = 723.63 : x
  2. Step 2: Convert to fraction form
    1,142.58/1,577.15 = 723.63/x
  3. Step 3: Cross multiply
    1,142.58x = 1,577.15 × 723.63
  4. Step 4: Simplify right side
    1,142.58x = 1,141,269.44
  5. Step 5: Solve for x
    x = 1,141,269.44/1,142.58
  6. Step 6: Final answer
    x = 998.85

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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.