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Finding the Fourth Proportional to 975.61, 1,347.25 and 626.91

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Solution

The fourth proportional to 975.61, 1,347.25 and 626.91 is: 865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.61 : 1,347.25 = 626.91 : x
  2. Step 2: Convert to fraction form
    975.61/1,347.25 = 626.91/x
  3. Step 3: Cross multiply
    975.61x = 1,347.25 × 626.91
  4. Step 4: Simplify right side
    975.61x = 844,601.36
  5. Step 5: Solve for x
    x = 844,601.36/975.61
  6. Step 6: Final answer
    x = 865.72

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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.