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Finding the Fourth Proportional to 1,094.11, 1,510.35 and 762.41

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Solution

The fourth proportional to 1,094.11, 1,510.35 and 762.41 is: 1,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.11 : 1,510.35 = 762.41 : x
  2. Step 2: Convert to fraction form
    1,094.11/1,510.35 = 762.41/x
  3. Step 3: Cross multiply
    1,094.11x = 1,510.35 × 762.41
  4. Step 4: Simplify right side
    1,094.11x = 1,151,505.94
  5. Step 5: Solve for x
    x = 1,151,505.94/1,094.11
  6. Step 6: Final answer
    x = 1,052.46

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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.