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Finding the Fourth Proportional to 802.50, 1,107.50 and 776.98

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Solution

The fourth proportional to 802.50, 1,107.50 and 776.98 is: 1,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.50 : 1,107.50 = 776.98 : x
  2. Step 2: Convert to fraction form
    802.50/1,107.50 = 776.98/x
  3. Step 3: Cross multiply
    802.50x = 1,107.50 × 776.98
  4. Step 4: Simplify right side
    802.50x = 860,505.35
  5. Step 5: Solve for x
    x = 860,505.35/802.50
  6. Step 6: Final answer
    x = 1,072.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.