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Finding the Fourth Proportional to 910.70, 1,364.16 and 756.26

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Solution

The fourth proportional to 910.70, 1,364.16 and 756.26 is: 1,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.70 : 1,364.16 = 756.26 : x
  2. Step 2: Convert to fraction form
    910.70/1,364.16 = 756.26/x
  3. Step 3: Cross multiply
    910.70x = 1,364.16 × 756.26
  4. Step 4: Simplify right side
    910.70x = 1,031,659.64
  5. Step 5: Solve for x
    x = 1,031,659.64/910.70
  6. Step 6: Final answer
    x = 1,132.82

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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.