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Finding the Fourth Proportional to 835.64, 1,251.26 and 705.32

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Solution

The fourth proportional to 835.64, 1,251.26 and 705.32 is: 1,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.64 : 1,251.26 = 705.32 : x
  2. Step 2: Convert to fraction form
    835.64/1,251.26 = 705.32/x
  3. Step 3: Cross multiply
    835.64x = 1,251.26 × 705.32
  4. Step 4: Simplify right side
    835.64x = 882,538.70
  5. Step 5: Solve for x
    x = 882,538.70/835.64
  6. Step 6: Final answer
    x = 1,056.12

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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.