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Finding the Fourth Proportional to 1,023.96, 1,413.07 and 569.72

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Solution

The fourth proportional to 1,023.96, 1,413.07 and 569.72 is: 786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.96 : 1,413.07 = 569.72 : x
  2. Step 2: Convert to fraction form
    1,023.96/1,413.07 = 569.72/x
  3. Step 3: Cross multiply
    1,023.96x = 1,413.07 × 569.72
  4. Step 4: Simplify right side
    1,023.96x = 805,056.35
  5. Step 5: Solve for x
    x = 805,056.35/1,023.96
  6. Step 6: Final answer
    x = 786.22

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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.