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Finding the Fourth Proportional to 802.00, 1,200.27 and 596.06

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Solution

The fourth proportional to 802.00, 1,200.27 and 596.06 is: 892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.00 : 1,200.27 = 596.06 : x
  2. Step 2: Convert to fraction form
    802.00/1,200.27 = 596.06/x
  3. Step 3: Cross multiply
    802.00x = 1,200.27 × 596.06
  4. Step 4: Simplify right side
    802.00x = 715,430.32
  5. Step 5: Solve for x
    x = 715,430.32/802.00
  6. Step 6: Final answer
    x = 892.06

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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.