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Finding the Fourth Proportional to 963.51, 1,329.61 and 702.63

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Solution

The fourth proportional to 963.51, 1,329.61 and 702.63 is: 969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.51 : 1,329.61 = 702.63 : x
  2. Step 2: Convert to fraction form
    963.51/1,329.61 = 702.63/x
  3. Step 3: Cross multiply
    963.51x = 1,329.61 × 702.63
  4. Step 4: Simplify right side
    963.51x = 934,223.87
  5. Step 5: Solve for x
    x = 934,223.87/963.51
  6. Step 6: Final answer
    x = 969.60

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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.