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Finding the Fourth Proportional to 1,347.33, 1,859.07 and 757.77

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Solution

The fourth proportional to 1,347.33, 1,859.07 and 757.77 is: 1,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.33 : 1,859.07 = 757.77 : x
  2. Step 2: Convert to fraction form
    1,347.33/1,859.07 = 757.77/x
  3. Step 3: Cross multiply
    1,347.33x = 1,859.07 × 757.77
  4. Step 4: Simplify right side
    1,347.33x = 1,408,747.47
  5. Step 5: Solve for x
    x = 1,408,747.47/1,347.33
  6. Step 6: Final answer
    x = 1,045.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.