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Finding the Fourth Proportional to 1,165.17, 1,749.48 and 777.59

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Solution

The fourth proportional to 1,165.17, 1,749.48 and 777.59 is: 1,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.17 : 1,749.48 = 777.59 : x
  2. Step 2: Convert to fraction form
    1,165.17/1,749.48 = 777.59/x
  3. Step 3: Cross multiply
    1,165.17x = 1,749.48 × 777.59
  4. Step 4: Simplify right side
    1,165.17x = 1,360,366.49
  5. Step 5: Solve for x
    x = 1,360,366.49/1,165.17
  6. Step 6: Final answer
    x = 1,167.53

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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.