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Finding the Fourth Proportional to 975.78, 1,347.04 and 626.68

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Solution

The fourth proportional to 975.78, 1,347.04 and 626.68 is: 865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.78 : 1,347.04 = 626.68 : x
  2. Step 2: Convert to fraction form
    975.78/1,347.04 = 626.68/x
  3. Step 3: Cross multiply
    975.78x = 1,347.04 × 626.68
  4. Step 4: Simplify right side
    975.78x = 844,163.03
  5. Step 5: Solve for x
    x = 844,163.03/975.78
  6. Step 6: Final answer
    x = 865.12

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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.