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Finding the Fourth Proportional to 829.06, 1,145.40 and 706.12

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Solution

The fourth proportional to 829.06, 1,145.40 and 706.12 is: 975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.06 : 1,145.40 = 706.12 : x
  2. Step 2: Convert to fraction form
    829.06/1,145.40 = 706.12/x
  3. Step 3: Cross multiply
    829.06x = 1,145.40 × 706.12
  4. Step 4: Simplify right side
    829.06x = 808,789.85
  5. Step 5: Solve for x
    x = 808,789.85/829.06
  6. Step 6: Final answer
    x = 975.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.