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Finding the Fourth Proportional to 1,076.62, 1,486.06 and 702.94

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Solution

The fourth proportional to 1,076.62, 1,486.06 and 702.94 is: 970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.62 : 1,486.06 = 702.94 : x
  2. Step 2: Convert to fraction form
    1,076.62/1,486.06 = 702.94/x
  3. Step 3: Cross multiply
    1,076.62x = 1,486.06 × 702.94
  4. Step 4: Simplify right side
    1,076.62x = 1,044,611.02
  5. Step 5: Solve for x
    x = 1,044,611.02/1,076.62
  6. Step 6: Final answer
    x = 970.27

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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.