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Finding the Fourth Proportional to 1,166.90, 1,750.10 and 344.99

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Solution

The fourth proportional to 1,166.90, 1,750.10 and 344.99 is: 517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.90 : 1,750.10 = 344.99 : x
  2. Step 2: Convert to fraction form
    1,166.90/1,750.10 = 344.99/x
  3. Step 3: Cross multiply
    1,166.90x = 1,750.10 × 344.99
  4. Step 4: Simplify right side
    1,166.90x = 603,772.24
  5. Step 5: Solve for x
    x = 603,772.24/1,166.90
  6. Step 6: Final answer
    x = 517.41

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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.