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Finding the Fourth Proportional to 1,039.47, 1,558.75 and 552.41

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Solution

The fourth proportional to 1,039.47, 1,558.75 and 552.41 is: 828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.47 : 1,558.75 = 552.41 : x
  2. Step 2: Convert to fraction form
    1,039.47/1,558.75 = 552.41/x
  3. Step 3: Cross multiply
    1,039.47x = 1,558.75 × 552.41
  4. Step 4: Simplify right side
    1,039.47x = 861,065.76
  5. Step 5: Solve for x
    x = 861,065.76/1,039.47
  6. Step 6: Final answer
    x = 828.37

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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.