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Finding the Fourth Proportional to 1,007.29, 1,510.27 and 486.26

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Solution

The fourth proportional to 1,007.29, 1,510.27 and 486.26 is: 729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.29 : 1,510.27 = 486.26 : x
  2. Step 2: Convert to fraction form
    1,007.29/1,510.27 = 486.26/x
  3. Step 3: Cross multiply
    1,007.29x = 1,510.27 × 486.26
  4. Step 4: Simplify right side
    1,007.29x = 734,383.89
  5. Step 5: Solve for x
    x = 734,383.89/1,007.29
  6. Step 6: Final answer
    x = 729.07

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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.