Home / 1,024.37-1,413.67-582.35

Finding the Fourth Proportional to 1,024.37, 1,413.67 and 582.35

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Solution

The fourth proportional to 1,024.37, 1,413.67 and 582.35 is: 803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.37 : 1,413.67 = 582.35 : x
  2. Step 2: Convert to fraction form
    1,024.37/1,413.67 = 582.35/x
  3. Step 3: Cross multiply
    1,024.37x = 1,413.67 × 582.35
  4. Step 4: Simplify right side
    1,024.37x = 823,250.72
  5. Step 5: Solve for x
    x = 823,250.72/1,024.37
  6. Step 6: Final answer
    x = 803.67

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Why These Related Problems?

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