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Finding the Fourth Proportional to 1,334.98, 1,842.29 and 745.53

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Solution

The fourth proportional to 1,334.98, 1,842.29 and 745.53 is: 1,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.98 : 1,842.29 = 745.53 : x
  2. Step 2: Convert to fraction form
    1,334.98/1,842.29 = 745.53/x
  3. Step 3: Cross multiply
    1,334.98x = 1,842.29 × 745.53
  4. Step 4: Simplify right side
    1,334.98x = 1,373,482.46
  5. Step 5: Solve for x
    x = 1,373,482.46/1,334.98
  6. Step 6: Final answer
    x = 1,028.84

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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.