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Finding the Fourth Proportional to 1,195.98, 1,649.61 and 802.32

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Solution

The fourth proportional to 1,195.98, 1,649.61 and 802.32 is: 1,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.98 : 1,649.61 = 802.32 : x
  2. Step 2: Convert to fraction form
    1,195.98/1,649.61 = 802.32/x
  3. Step 3: Cross multiply
    1,195.98x = 1,649.61 × 802.32
  4. Step 4: Simplify right side
    1,195.98x = 1,323,515.10
  5. Step 5: Solve for x
    x = 1,323,515.10/1,195.98
  6. Step 6: Final answer
    x = 1,106.64

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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.