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Finding the Fourth Proportional to 1,194.98, 1,649.70 and 802.67

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Solution

The fourth proportional to 1,194.98, 1,649.70 and 802.67 is: 1,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.98 : 1,649.70 = 802.67 : x
  2. Step 2: Convert to fraction form
    1,194.98/1,649.70 = 802.67/x
  3. Step 3: Cross multiply
    1,194.98x = 1,649.70 × 802.67
  4. Step 4: Simplify right side
    1,194.98x = 1,324,156.45
  5. Step 5: Solve for x
    x = 1,324,156.45/1,194.98
  6. Step 6: Final answer
    x = 1,108.10

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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.