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Finding the Fourth Proportional to 1,110.17, 1,667.68 and 677.63

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Solution

The fourth proportional to 1,110.17, 1,667.68 and 677.63 is: 1,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.17 : 1,667.68 = 677.63 : x
  2. Step 2: Convert to fraction form
    1,110.17/1,667.68 = 677.63/x
  3. Step 3: Cross multiply
    1,110.17x = 1,667.68 × 677.63
  4. Step 4: Simplify right side
    1,110.17x = 1,130,072.47
  5. Step 5: Solve for x
    x = 1,130,072.47/1,110.17
  6. Step 6: Final answer
    x = 1,017.93

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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.