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Finding the Fourth Proportional to 1,142.80, 1,577.08 and 645.46

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Solution

The fourth proportional to 1,142.80, 1,577.08 and 645.46 is: 890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.80 : 1,577.08 = 645.46 : x
  2. Step 2: Convert to fraction form
    1,142.80/1,577.08 = 645.46/x
  3. Step 3: Cross multiply
    1,142.80x = 1,577.08 × 645.46
  4. Step 4: Simplify right side
    1,142.80x = 1,017,942.06
  5. Step 5: Solve for x
    x = 1,017,942.06/1,142.80
  6. Step 6: Final answer
    x = 890.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.