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Finding the Fourth Proportional to 813.70, 1,218.93 and 524.53

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Solution

The fourth proportional to 813.70, 1,218.93 and 524.53 is: 785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.70 : 1,218.93 = 524.53 : x
  2. Step 2: Convert to fraction form
    813.70/1,218.93 = 524.53/x
  3. Step 3: Cross multiply
    813.70x = 1,218.93 × 524.53
  4. Step 4: Simplify right side
    813.70x = 639,365.35
  5. Step 5: Solve for x
    x = 639,365.35/813.70
  6. Step 6: Final answer
    x = 785.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.