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Finding the Fourth Proportional to 706.34, 1,059.56 and 295.40

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Solution

The fourth proportional to 706.34, 1,059.56 and 295.40 is: 443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.34 : 1,059.56 = 295.40 : x
  2. Step 2: Convert to fraction form
    706.34/1,059.56 = 295.40/x
  3. Step 3: Cross multiply
    706.34x = 1,059.56 × 295.40
  4. Step 4: Simplify right side
    706.34x = 312,994.02
  5. Step 5: Solve for x
    x = 312,994.02/706.34
  6. Step 6: Final answer
    x = 443.12

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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.