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Finding the Fourth Proportional to 768.32, 1,060.64 and 584

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Solution

The fourth proportional to 768.32, 1,060.64 and 584 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,060.64 = 584 : x
  2. Step 2: Convert to fraction form
    768.32/1,060.64 = 584/x
  3. Step 3: Cross multiply
    768.32x = 1,060.64 × 584
  4. Step 4: Simplify right side
    768.32x = 619,413.76
  5. Step 5: Solve for x
    x = 619,413.76/768.32
  6. Step 6: Final answer
    x = 806.19

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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.