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Finding the Fourth Proportional to 1,175.59, 1,620.94 and 802.78

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Solution

The fourth proportional to 1,175.59, 1,620.94 and 802.78 is: 1,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.59 : 1,620.94 = 802.78 : x
  2. Step 2: Convert to fraction form
    1,175.59/1,620.94 = 802.78/x
  3. Step 3: Cross multiply
    1,175.59x = 1,620.94 × 802.78
  4. Step 4: Simplify right side
    1,175.59x = 1,301,258.21
  5. Step 5: Solve for x
    x = 1,301,258.21/1,175.59
  6. Step 6: Final answer
    x = 1,106.90

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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.