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Finding the Fourth Proportional to 1,174.78, 1,762.47 and 558.47

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Solution

The fourth proportional to 1,174.78, 1,762.47 and 558.47 is: 837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.78 : 1,762.47 = 558.47 : x
  2. Step 2: Convert to fraction form
    1,174.78/1,762.47 = 558.47/x
  3. Step 3: Cross multiply
    1,174.78x = 1,762.47 × 558.47
  4. Step 4: Simplify right side
    1,174.78x = 984,291.03
  5. Step 5: Solve for x
    x = 984,291.03/1,174.78
  6. Step 6: Final answer
    x = 837.85

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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.