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Finding the Fourth Proportional to 975.83, 1,347.03 and 660.94

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Solution

The fourth proportional to 975.83, 1,347.03 and 660.94 is: 912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.83 : 1,347.03 = 660.94 : x
  2. Step 2: Convert to fraction form
    975.83/1,347.03 = 660.94/x
  3. Step 3: Cross multiply
    975.83x = 1,347.03 × 660.94
  4. Step 4: Simplify right side
    975.83x = 890,306.01
  5. Step 5: Solve for x
    x = 890,306.01/975.83
  6. Step 6: Final answer
    x = 912.36

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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.