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Finding the Fourth Proportional to 708.19, 975.18 and 642.31

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Solution

The fourth proportional to 708.19, 975.18 and 642.31 is: 884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.19 : 975.18 = 642.31 : x
  2. Step 2: Convert to fraction form
    708.19/975.18 = 642.31/x
  3. Step 3: Cross multiply
    708.19x = 975.18 × 642.31
  4. Step 4: Simplify right side
    708.19x = 626,367.87
  5. Step 5: Solve for x
    x = 626,367.87/708.19
  6. Step 6: Final answer
    x = 884.46

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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.