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Finding the Fourth Proportional to 1,289.58, 1,935.74 and 802.97

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Solution

The fourth proportional to 1,289.58, 1,935.74 and 802.97 is: 1,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.58 : 1,935.74 = 802.97 : x
  2. Step 2: Convert to fraction form
    1,289.58/1,935.74 = 802.97/x
  3. Step 3: Cross multiply
    1,289.58x = 1,935.74 × 802.97
  4. Step 4: Simplify right side
    1,289.58x = 1,554,341.97
  5. Step 5: Solve for x
    x = 1,554,341.97/1,289.58
  6. Step 6: Final answer
    x = 1,205.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.