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Finding the Fourth Proportional to 802.59, 1,202.67 and 596.25

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Solution

The fourth proportional to 802.59, 1,202.67 and 596.25 is: 893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.59 : 1,202.67 = 596.25 : x
  2. Step 2: Convert to fraction form
    802.59/1,202.67 = 596.25/x
  3. Step 3: Cross multiply
    802.59x = 1,202.67 × 596.25
  4. Step 4: Simplify right side
    802.59x = 717,091.99
  5. Step 5: Solve for x
    x = 717,091.99/802.59
  6. Step 6: Final answer
    x = 893.47

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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.