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Finding the Fourth Proportional to 945.96, 1,418.82 and 702.84

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Solution

The fourth proportional to 945.96, 1,418.82 and 702.84 is: 1,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.96 : 1,418.82 = 702.84 : x
  2. Step 2: Convert to fraction form
    945.96/1,418.82 = 702.84/x
  3. Step 3: Cross multiply
    945.96x = 1,418.82 × 702.84
  4. Step 4: Simplify right side
    945.96x = 997,203.45
  5. Step 5: Solve for x
    x = 997,203.45/945.96
  6. Step 6: Final answer
    x = 1,054.17

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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.