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Finding the Fourth Proportional to 841.14, 1,161.06 and 702.87

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Solution

The fourth proportional to 841.14, 1,161.06 and 702.87 is: 970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.14 : 1,161.06 = 702.87 : x
  2. Step 2: Convert to fraction form
    841.14/1,161.06 = 702.87/x
  3. Step 3: Cross multiply
    841.14x = 1,161.06 × 702.87
  4. Step 4: Simplify right side
    841.14x = 816,074.24
  5. Step 5: Solve for x
    x = 816,074.24/841.14
  6. Step 6: Final answer
    x = 970.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.