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Finding the Fourth Proportional to 1,169.54, 1,750.63 and 802.18

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Solution

The fourth proportional to 1,169.54, 1,750.63 and 802.18 is: 1,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.54 : 1,750.63 = 802.18 : x
  2. Step 2: Convert to fraction form
    1,169.54/1,750.63 = 802.18/x
  3. Step 3: Cross multiply
    1,169.54x = 1,750.63 × 802.18
  4. Step 4: Simplify right side
    1,169.54x = 1,404,320.37
  5. Step 5: Solve for x
    x = 1,404,320.37/1,169.54
  6. Step 6: Final answer
    x = 1,200.75

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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.