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Finding the Fourth Proportional to 794.49, 1,192.29 and 534.98

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Solution

The fourth proportional to 794.49, 1,192.29 and 534.98 is: 802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.49 : 1,192.29 = 534.98 : x
  2. Step 2: Convert to fraction form
    794.49/1,192.29 = 534.98/x
  3. Step 3: Cross multiply
    794.49x = 1,192.29 × 534.98
  4. Step 4: Simplify right side
    794.49x = 637,852.28
  5. Step 5: Solve for x
    x = 637,852.28/794.49
  6. Step 6: Final answer
    x = 802.85

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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.