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Finding the Fourth Proportional to 706.16, 1,059.47 and 340.90

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Solution

The fourth proportional to 706.16, 1,059.47 and 340.90 is: 511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.16 : 1,059.47 = 340.90 : x
  2. Step 2: Convert to fraction form
    706.16/1,059.47 = 340.90/x
  3. Step 3: Cross multiply
    706.16x = 1,059.47 × 340.90
  4. Step 4: Simplify right side
    706.16x = 361,171.53
  5. Step 5: Solve for x
    x = 361,171.53/706.16
  6. Step 6: Final answer
    x = 511.46

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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.