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Finding the Fourth Proportional to 1,142.94, 1,577.37 and 700.76

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Solution

The fourth proportional to 1,142.94, 1,577.37 and 700.76 is: 967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.94 : 1,577.37 = 700.76 : x
  2. Step 2: Convert to fraction form
    1,142.94/1,577.37 = 700.76/x
  3. Step 3: Cross multiply
    1,142.94x = 1,577.37 × 700.76
  4. Step 4: Simplify right side
    1,142.94x = 1,105,357.80
  5. Step 5: Solve for x
    x = 1,105,357.80/1,142.94
  6. Step 6: Final answer
    x = 967.12

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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.