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Finding the Fourth Proportional to 1,014.04, 1,399.30 and 594.33

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Solution

The fourth proportional to 1,014.04, 1,399.30 and 594.33 is: 820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.04 : 1,399.30 = 594.33 : x
  2. Step 2: Convert to fraction form
    1,014.04/1,399.30 = 594.33/x
  3. Step 3: Cross multiply
    1,014.04x = 1,399.30 × 594.33
  4. Step 4: Simplify right side
    1,014.04x = 831,636.00
  5. Step 5: Solve for x
    x = 831,636.00/1,014.04
  6. Step 6: Final answer
    x = 820.12

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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.