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Finding the Fourth Proportional to 1,165.69, 1,749.30 and 776.13

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Solution

The fourth proportional to 1,165.69, 1,749.30 and 776.13 is: 1,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.69 : 1,749.30 = 776.13 : x
  2. Step 2: Convert to fraction form
    1,165.69/1,749.30 = 776.13/x
  3. Step 3: Cross multiply
    1,165.69x = 1,749.30 × 776.13
  4. Step 4: Simplify right side
    1,165.69x = 1,357,684.21
  5. Step 5: Solve for x
    x = 1,357,684.21/1,165.69
  6. Step 6: Final answer
    x = 1,164.70

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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.