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Finding the Fourth Proportional to 1,167.14, 1,750.84 and 345.42

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Solution

The fourth proportional to 1,167.14, 1,750.84 and 345.42 is: 518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.14 : 1,750.84 = 345.42 : x
  2. Step 2: Convert to fraction form
    1,167.14/1,750.84 = 345.42/x
  3. Step 3: Cross multiply
    1,167.14x = 1,750.84 × 345.42
  4. Step 4: Simplify right side
    1,167.14x = 604,772.80
  5. Step 5: Solve for x
    x = 604,772.80/1,167.14
  6. Step 6: Final answer
    x = 518.17

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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.