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Finding the Fourth Proportional to 1,065.84, 1,469.32 and 706.33

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Solution

The fourth proportional to 1,065.84, 1,469.32 and 706.33 is: 973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.84 : 1,469.32 = 706.33 : x
  2. Step 2: Convert to fraction form
    1,065.84/1,469.32 = 706.33/x
  3. Step 3: Cross multiply
    1,065.84x = 1,469.32 × 706.33
  4. Step 4: Simplify right side
    1,065.84x = 1,037,824.80
  5. Step 5: Solve for x
    x = 1,037,824.80/1,065.84
  6. Step 6: Final answer
    x = 973.72

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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.