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Finding the Fourth Proportional to 910.36, 1,256.36 and 512.06

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Solution

The fourth proportional to 910.36, 1,256.36 and 512.06 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.36 : 1,256.36 = 512.06 : x
  2. Step 2: Convert to fraction form
    910.36/1,256.36 = 512.06/x
  3. Step 3: Cross multiply
    910.36x = 1,256.36 × 512.06
  4. Step 4: Simplify right side
    910.36x = 643,329.14
  5. Step 5: Solve for x
    x = 643,329.14/910.36
  6. Step 6: Final answer
    x = 706.68

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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.