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Finding the Fourth Proportional to 723.90, 1,086.06 and 359.00

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Solution

The fourth proportional to 723.90, 1,086.06 and 359.00 is: 538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.90 : 1,086.06 = 359.00 : x
  2. Step 2: Convert to fraction form
    723.90/1,086.06 = 359.00/x
  3. Step 3: Cross multiply
    723.90x = 1,086.06 × 359.00
  4. Step 4: Simplify right side
    723.90x = 389,890.11
  5. Step 5: Solve for x
    x = 389,890.11/723.90
  6. Step 6: Final answer
    x = 538.60

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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.