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Finding the Fourth Proportional to 1,265.06, 1,745.66 and 705.48

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Solution

The fourth proportional to 1,265.06, 1,745.66 and 705.48 is: 973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.06 : 1,745.66 = 705.48 : x
  2. Step 2: Convert to fraction form
    1,265.06/1,745.66 = 705.48/x
  3. Step 3: Cross multiply
    1,265.06x = 1,745.66 × 705.48
  4. Step 4: Simplify right side
    1,265.06x = 1,231,524.69
  5. Step 5: Solve for x
    x = 1,231,524.69/1,265.06
  6. Step 6: Final answer
    x = 973.49

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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.