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Finding the Fourth Proportional to 965.88, 1,446.57 and 705.23

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Solution

The fourth proportional to 965.88, 1,446.57 and 705.23 is: 1,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.88 : 1,446.57 = 705.23 : x
  2. Step 2: Convert to fraction form
    965.88/1,446.57 = 705.23/x
  3. Step 3: Cross multiply
    965.88x = 1,446.57 × 705.23
  4. Step 4: Simplify right side
    965.88x = 1,020,167.90
  5. Step 5: Solve for x
    x = 1,020,167.90/965.88
  6. Step 6: Final answer
    x = 1,056.21

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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.