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Finding the Fourth Proportional to 727.56, 1,002.96 and 569.88

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Solution

The fourth proportional to 727.56, 1,002.96 and 569.88 is: 785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.56 : 1,002.96 = 569.88 : x
  2. Step 2: Convert to fraction form
    727.56/1,002.96 = 569.88/x
  3. Step 3: Cross multiply
    727.56x = 1,002.96 × 569.88
  4. Step 4: Simplify right side
    727.56x = 571,566.84
  5. Step 5: Solve for x
    x = 571,566.84/727.56
  6. Step 6: Final answer
    x = 785.59

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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.