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Finding the Fourth Proportional to 1,168.61, 1,752.92 and 802.29

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Solution

The fourth proportional to 1,168.61, 1,752.92 and 802.29 is: 1,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.61 : 1,752.92 = 802.29 : x
  2. Step 2: Convert to fraction form
    1,168.61/1,752.92 = 802.29/x
  3. Step 3: Cross multiply
    1,168.61x = 1,752.92 × 802.29
  4. Step 4: Simplify right side
    1,168.61x = 1,406,346.18
  5. Step 5: Solve for x
    x = 1,406,346.18/1,168.61
  6. Step 6: Final answer
    x = 1,203.43

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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.