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Finding the Fourth Proportional to 1,024.86, 1,414.40 and 582.67

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Solution

The fourth proportional to 1,024.86, 1,414.40 and 582.67 is: 804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.86 : 1,414.40 = 582.67 : x
  2. Step 2: Convert to fraction form
    1,024.86/1,414.40 = 582.67/x
  3. Step 3: Cross multiply
    1,024.86x = 1,414.40 × 582.67
  4. Step 4: Simplify right side
    1,024.86x = 824,128.45
  5. Step 5: Solve for x
    x = 824,128.45/1,024.86
  6. Step 6: Final answer
    x = 804.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.