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Finding the Fourth Proportional to 705.98, 1,059.04 and 295.06

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Solution

The fourth proportional to 705.98, 1,059.04 and 295.06 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.98 : 1,059.04 = 295.06 : x
  2. Step 2: Convert to fraction form
    705.98/1,059.04 = 295.06/x
  3. Step 3: Cross multiply
    705.98x = 1,059.04 × 295.06
  4. Step 4: Simplify right side
    705.98x = 312,480.34
  5. Step 5: Solve for x
    x = 312,480.34/705.98
  6. Step 6: Final answer
    x = 442.62

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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.