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Finding the Fourth Proportional to 1,151.90, 1,589.15 and 802.79

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Solution

The fourth proportional to 1,151.90, 1,589.15 and 802.79 is: 1,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.90 : 1,589.15 = 802.79 : x
  2. Step 2: Convert to fraction form
    1,151.90/1,589.15 = 802.79/x
  3. Step 3: Cross multiply
    1,151.90x = 1,589.15 × 802.79
  4. Step 4: Simplify right side
    1,151.90x = 1,275,749.71
  5. Step 5: Solve for x
    x = 1,275,749.71/1,151.90
  6. Step 6: Final answer
    x = 1,107.52

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Why These Related Problems?

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