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Finding the Fourth Proportional to 1,048.74, 1,447.10 and 600.54

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Solution

The fourth proportional to 1,048.74, 1,447.10 and 600.54 is: 828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.74 : 1,447.10 = 600.54 : x
  2. Step 2: Convert to fraction form
    1,048.74/1,447.10 = 600.54/x
  3. Step 3: Cross multiply
    1,048.74x = 1,447.10 × 600.54
  4. Step 4: Simplify right side
    1,048.74x = 869,041.02
  5. Step 5: Solve for x
    x = 869,041.02/1,048.74
  6. Step 6: Final answer
    x = 828.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.