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Finding the Fourth Proportional to 950.34, 1,311.09 and 702.26

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Solution

The fourth proportional to 950.34, 1,311.09 and 702.26 is: 968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.34 : 1,311.09 = 702.26 : x
  2. Step 2: Convert to fraction form
    950.34/1,311.09 = 702.26/x
  3. Step 3: Cross multiply
    950.34x = 1,311.09 × 702.26
  4. Step 4: Simplify right side
    950.34x = 920,719.51
  5. Step 5: Solve for x
    x = 920,719.51/950.34
  6. Step 6: Final answer
    x = 968.83

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1.5x scale

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.