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Finding the Fourth Proportional to 1,174.38, 1,762.38 and 525.48

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Solution

The fourth proportional to 1,174.38, 1,762.38 and 525.48 is: 788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.38 : 1,762.38 = 525.48 : x
  2. Step 2: Convert to fraction form
    1,174.38/1,762.38 = 525.48/x
  3. Step 3: Cross multiply
    1,174.38x = 1,762.38 × 525.48
  4. Step 4: Simplify right side
    1,174.38x = 926,095.44
  5. Step 5: Solve for x
    x = 926,095.44/1,174.38
  6. Step 6: Final answer
    x = 788.58

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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.