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Finding the Fourth Proportional to 784.94, 1,176.37 and 702.18

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Solution

The fourth proportional to 784.94, 1,176.37 and 702.18 is: 1,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.94 : 1,176.37 = 702.18 : x
  2. Step 2: Convert to fraction form
    784.94/1,176.37 = 702.18/x
  3. Step 3: Cross multiply
    784.94x = 1,176.37 × 702.18
  4. Step 4: Simplify right side
    784.94x = 826,021.73
  5. Step 5: Solve for x
    x = 826,021.73/784.94
  6. Step 6: Final answer
    x = 1,052.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.