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Finding the Fourth Proportional to 1,556.86, 2,333.67 and 582.54

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Solution

The fourth proportional to 1,556.86, 2,333.67 and 582.54 is: 873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.86 : 2,333.67 = 582.54 : x
  2. Step 2: Convert to fraction form
    1,556.86/2,333.67 = 582.54/x
  3. Step 3: Cross multiply
    1,556.86x = 2,333.67 × 582.54
  4. Step 4: Simplify right side
    1,556.86x = 1,359,456.12
  5. Step 5: Solve for x
    x = 1,359,456.12/1,556.86
  6. Step 6: Final answer
    x = 873.20

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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.