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Finding the Fourth Proportional to 1,024.40, 1,535.70 and 365.96

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Solution

The fourth proportional to 1,024.40, 1,535.70 and 365.96 is: 548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.40 : 1,535.70 = 365.96 : x
  2. Step 2: Convert to fraction form
    1,024.40/1,535.70 = 365.96/x
  3. Step 3: Cross multiply
    1,024.40x = 1,535.70 × 365.96
  4. Step 4: Simplify right side
    1,024.40x = 562,004.77
  5. Step 5: Solve for x
    x = 562,004.77/1,024.40
  6. Step 6: Final answer
    x = 548.62

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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.