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Finding the Fourth Proportional to 910.26, 1,256.27 and 700.07

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Solution

The fourth proportional to 910.26, 1,256.27 and 700.07 is: 966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.26 : 1,256.27 = 700.07 : x
  2. Step 2: Convert to fraction form
    910.26/1,256.27 = 700.07/x
  3. Step 3: Cross multiply
    910.26x = 1,256.27 × 700.07
  4. Step 4: Simplify right side
    910.26x = 879,467.16
  5. Step 5: Solve for x
    x = 879,467.16/910.26
  6. Step 6: Final answer
    x = 966.17

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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.