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Finding the Fourth Proportional to 1,060.88, 1,462.43 and 745.16

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Solution

The fourth proportional to 1,060.88, 1,462.43 and 745.16 is: 1,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.88 : 1,462.43 = 745.16 : x
  2. Step 2: Convert to fraction form
    1,060.88/1,462.43 = 745.16/x
  3. Step 3: Cross multiply
    1,060.88x = 1,462.43 × 745.16
  4. Step 4: Simplify right side
    1,060.88x = 1,089,740.61
  5. Step 5: Solve for x
    x = 1,089,740.61/1,060.88
  6. Step 6: Final answer
    x = 1,027.20

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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.