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Finding the Fourth Proportional to 1,014.07, 1,399.47 and 594.43

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Solution

The fourth proportional to 1,014.07, 1,399.47 and 594.43 is: 820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.07 : 1,399.47 = 594.43 : x
  2. Step 2: Convert to fraction form
    1,014.07/1,399.47 = 594.43/x
  3. Step 3: Cross multiply
    1,014.07x = 1,399.47 × 594.43
  4. Step 4: Simplify right side
    1,014.07x = 831,886.95
  5. Step 5: Solve for x
    x = 831,886.95/1,014.07
  6. Step 6: Final answer
    x = 820.34

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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.