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Finding the Fourth Proportional to 1,174.35, 1,762.81 and 865.25

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Solution

The fourth proportional to 1,174.35, 1,762.81 and 865.25 is: 1,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.35 : 1,762.81 = 865.25 : x
  2. Step 2: Convert to fraction form
    1,174.35/1,762.81 = 865.25/x
  3. Step 3: Cross multiply
    1,174.35x = 1,762.81 × 865.25
  4. Step 4: Simplify right side
    1,174.35x = 1,525,260.38
  5. Step 5: Solve for x
    x = 1,525,260.38/1,174.35
  6. Step 6: Final answer
    x = 1,298.81

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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.