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Finding the Fourth Proportional to 796.65, 1,193.06 and 705.45

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Solution

The fourth proportional to 796.65, 1,193.06 and 705.45 is: 1,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.65 : 1,193.06 = 705.45 : x
  2. Step 2: Convert to fraction form
    796.65/1,193.06 = 705.45/x
  3. Step 3: Cross multiply
    796.65x = 1,193.06 × 705.45
  4. Step 4: Simplify right side
    796.65x = 841,640.65
  5. Step 5: Solve for x
    x = 841,640.65/796.65
  6. Step 6: Final answer
    x = 1,056.47

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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.