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Finding the Fourth Proportional to 1,060.64, 1,462.13 and 744.95

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Solution

The fourth proportional to 1,060.64, 1,462.13 and 744.95 is: 1,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.64 : 1,462.13 = 744.95 : x
  2. Step 2: Convert to fraction form
    1,060.64/1,462.13 = 744.95/x
  3. Step 3: Cross multiply
    1,060.64x = 1,462.13 × 744.95
  4. Step 4: Simplify right side
    1,060.64x = 1,089,213.74
  5. Step 5: Solve for x
    x = 1,089,213.74/1,060.64
  6. Step 6: Final answer
    x = 1,026.94

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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.