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Finding the Fourth Proportional to 1,166.46, 1,748.61 and 1,065

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Solution

The fourth proportional to 1,166.46, 1,748.61 and 1,065 is: 1,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.46 : 1,748.61 = 1,065 : x
  2. Step 2: Convert to fraction form
    1,166.46/1,748.61 = 1,065/x
  3. Step 3: Cross multiply
    1,166.46x = 1,748.61 × 1,065
  4. Step 4: Simplify right side
    1,166.46x = 1,862,269.65
  5. Step 5: Solve for x
    x = 1,862,269.65/1,166.46
  6. Step 6: Final answer
    x = 1,596.51

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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.