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Finding the Fourth Proportional to 693.40, 1,039.40 and 346.20

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Solution

The fourth proportional to 693.40, 1,039.40 and 346.20 is: 518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.40 : 1,039.40 = 346.20 : x
  2. Step 2: Convert to fraction form
    693.40/1,039.40 = 346.20/x
  3. Step 3: Cross multiply
    693.40x = 1,039.40 × 346.20
  4. Step 4: Simplify right side
    693.40x = 359,840.28
  5. Step 5: Solve for x
    x = 359,840.28/693.40
  6. Step 6: Final answer
    x = 518.95

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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.