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Finding the Fourth Proportional to 802.06, 1,202.82 and 647.62

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Solution

The fourth proportional to 802.06, 1,202.82 and 647.62 is: 971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.06 : 1,202.82 = 647.62 : x
  2. Step 2: Convert to fraction form
    802.06/1,202.82 = 647.62/x
  3. Step 3: Cross multiply
    802.06x = 1,202.82 × 647.62
  4. Step 4: Simplify right side
    802.06x = 778,970.29
  5. Step 5: Solve for x
    x = 778,970.29/802.06
  6. Step 6: Final answer
    x = 971.21

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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.