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Finding the Fourth Proportional to 802.63, 1,196.93 and 795.34

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Solution

The fourth proportional to 802.63, 1,196.93 and 795.34 is: 1,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.63 : 1,196.93 = 795.34 : x
  2. Step 2: Convert to fraction form
    802.63/1,196.93 = 795.34/x
  3. Step 3: Cross multiply
    802.63x = 1,196.93 × 795.34
  4. Step 4: Simplify right side
    802.63x = 951,966.31
  5. Step 5: Solve for x
    x = 951,966.31/802.63
  6. Step 6: Final answer
    x = 1,186.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.