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Finding the Fourth Proportional to 1,054.59, 1,455.33 and 600.31

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Solution

The fourth proportional to 1,054.59, 1,455.33 and 600.31 is: 828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.59 : 1,455.33 = 600.31 : x
  2. Step 2: Convert to fraction form
    1,054.59/1,455.33 = 600.31/x
  3. Step 3: Cross multiply
    1,054.59x = 1,455.33 × 600.31
  4. Step 4: Simplify right side
    1,054.59x = 873,649.15
  5. Step 5: Solve for x
    x = 873,649.15/1,054.59
  6. Step 6: Final answer
    x = 828.43

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Why These Related Problems?

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