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Finding the Fourth Proportional to 1,127.38, 1,690.93 and 305.60

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Solution

The fourth proportional to 1,127.38, 1,690.93 and 305.60 is: 458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.38 : 1,690.93 = 305.60 : x
  2. Step 2: Convert to fraction form
    1,127.38/1,690.93 = 305.60/x
  3. Step 3: Cross multiply
    1,127.38x = 1,690.93 × 305.60
  4. Step 4: Simplify right side
    1,127.38x = 516,748.21
  5. Step 5: Solve for x
    x = 516,748.21/1,127.38
  6. Step 6: Final answer
    x = 458.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.