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Finding the Fourth Proportional to 727.72, 1,006.50 and 571.90

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Solution

The fourth proportional to 727.72, 1,006.50 and 571.90 is: 790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.72 : 1,006.50 = 571.90 : x
  2. Step 2: Convert to fraction form
    727.72/1,006.50 = 571.90/x
  3. Step 3: Cross multiply
    727.72x = 1,006.50 × 571.90
  4. Step 4: Simplify right side
    727.72x = 575,617.35
  5. Step 5: Solve for x
    x = 575,617.35/727.72
  6. Step 6: Final answer
    x = 790.99

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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.