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Finding the Fourth Proportional to 1,030.14, 1,422.84 and 749.93

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Solution

The fourth proportional to 1,030.14, 1,422.84 and 749.93 is: 1,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.14 : 1,422.84 = 749.93 : x
  2. Step 2: Convert to fraction form
    1,030.14/1,422.84 = 749.93/x
  3. Step 3: Cross multiply
    1,030.14x = 1,422.84 × 749.93
  4. Step 4: Simplify right side
    1,030.14x = 1,067,030.40
  5. Step 5: Solve for x
    x = 1,067,030.40/1,030.14
  6. Step 6: Final answer
    x = 1,035.81

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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.