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Finding the Fourth Proportional to 1,166.65, 1,750.32 and 344.94

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Solution

The fourth proportional to 1,166.65, 1,750.32 and 344.94 is: 517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.65 : 1,750.32 = 344.94 : x
  2. Step 2: Convert to fraction form
    1,166.65/1,750.32 = 344.94/x
  3. Step 3: Cross multiply
    1,166.65x = 1,750.32 × 344.94
  4. Step 4: Simplify right side
    1,166.65x = 603,760.33
  5. Step 5: Solve for x
    x = 603,760.33/1,166.65
  6. Step 6: Final answer
    x = 517.52

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Why These Related Problems?

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