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Finding the Fourth Proportional to 1,008.37, 1,510.37 and 833.07

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Solution

The fourth proportional to 1,008.37, 1,510.37 and 833.07 is: 1,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.37 : 1,510.37 = 833.07 : x
  2. Step 2: Convert to fraction form
    1,008.37/1,510.37 = 833.07/x
  3. Step 3: Cross multiply
    1,008.37x = 1,510.37 × 833.07
  4. Step 4: Simplify right side
    1,008.37x = 1,258,232.22
  5. Step 5: Solve for x
    x = 1,258,232.22/1,008.37
  6. Step 6: Final answer
    x = 1,247.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.