Home / 1,024.30-1,413.56-582.24

Finding the Fourth Proportional to 1,024.30, 1,413.56 and 582.24

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Solution

The fourth proportional to 1,024.30, 1,413.56 and 582.24 is: 803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.30 : 1,413.56 = 582.24 : x
  2. Step 2: Convert to fraction form
    1,024.30/1,413.56 = 582.24/x
  3. Step 3: Cross multiply
    1,024.30x = 1,413.56 × 582.24
  4. Step 4: Simplify right side
    1,024.30x = 823,031.17
  5. Step 5: Solve for x
    x = 823,031.17/1,024.30
  6. Step 6: Final answer
    x = 803.51

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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.