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Finding the Fourth Proportional to 613.50, 844.95 and 570.45

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Solution

The fourth proportional to 613.50, 844.95 and 570.45 is: 785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 844.95 = 570.45 : x
  2. Step 2: Convert to fraction form
    613.50/844.95 = 570.45/x
  3. Step 3: Cross multiply
    613.50x = 844.95 × 570.45
  4. Step 4: Simplify right side
    613.50x = 482,001.73
  5. Step 5: Solve for x
    x = 482,001.73/613.50
  6. Step 6: Final answer
    x = 785.66

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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.