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Finding the Fourth Proportional to 1,024, 1,413.18 and 581.92

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Solution

The fourth proportional to 1,024, 1,413.18 and 581.92 is: 803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024 : 1,413.18 = 581.92 : x
  2. Step 2: Convert to fraction form
    1,024/1,413.18 = 581.92/x
  3. Step 3: Cross multiply
    1,024x = 1,413.18 × 581.92
  4. Step 4: Simplify right side
    1,024x = 822,357.71
  5. Step 5: Solve for x
    x = 822,357.71/1,024
  6. Step 6: Final answer
    x = 803.08

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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.