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Finding the Fourth Proportional to 1,555.47, 2,334.08 and 582.26

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Solution

The fourth proportional to 1,555.47, 2,334.08 and 582.26 is: 873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.47 : 2,334.08 = 582.26 : x
  2. Step 2: Convert to fraction form
    1,555.47/2,334.08 = 582.26/x
  3. Step 3: Cross multiply
    1,555.47x = 2,334.08 × 582.26
  4. Step 4: Simplify right side
    1,555.47x = 1,359,031.21
  5. Step 5: Solve for x
    x = 1,359,031.21/1,555.47
  6. Step 6: Final answer
    x = 873.71

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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.