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Finding the Fourth Proportional to 1,166.29, 1,748.80 and 580.01

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Solution

The fourth proportional to 1,166.29, 1,748.80 and 580.01 is: 869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.29 : 1,748.80 = 580.01 : x
  2. Step 2: Convert to fraction form
    1,166.29/1,748.80 = 580.01/x
  3. Step 3: Cross multiply
    1,166.29x = 1,748.80 × 580.01
  4. Step 4: Simplify right side
    1,166.29x = 1,014,321.49
  5. Step 5: Solve for x
    x = 1,014,321.49/1,166.29
  6. Step 6: Final answer
    x = 869.70

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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.