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Finding the Fourth Proportional to 867.65, 1,194.55 and 702.41

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Solution

The fourth proportional to 867.65, 1,194.55 and 702.41 is: 967.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.65 : 1,194.55 = 702.41 : x
  2. Step 2: Convert to fraction form
    867.65/1,194.55 = 702.41/x
  3. Step 3: Cross multiply
    867.65x = 1,194.55 × 702.41
  4. Step 4: Simplify right side
    867.65x = 839,056.14
  5. Step 5: Solve for x
    x = 839,056.14/867.65
  6. Step 6: Final answer
    x = 967.05

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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.