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Finding the Fourth Proportional to 1,024.81, 1,537.05 and 504.67

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Solution

The fourth proportional to 1,024.81, 1,537.05 and 504.67 is: 756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.81 : 1,537.05 = 504.67 : x
  2. Step 2: Convert to fraction form
    1,024.81/1,537.05 = 504.67/x
  3. Step 3: Cross multiply
    1,024.81x = 1,537.05 × 504.67
  4. Step 4: Simplify right side
    1,024.81x = 775,699.18
  5. Step 5: Solve for x
    x = 775,699.18/1,024.81
  6. Step 6: Final answer
    x = 756.92

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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.