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Finding the Fourth Proportional to 1,223.61, 1,835.33 and 357.99

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Solution

The fourth proportional to 1,223.61, 1,835.33 and 357.99 is: 536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.61 : 1,835.33 = 357.99 : x
  2. Step 2: Convert to fraction form
    1,223.61/1,835.33 = 357.99/x
  3. Step 3: Cross multiply
    1,223.61x = 1,835.33 × 357.99
  4. Step 4: Simplify right side
    1,223.61x = 657,028.00
  5. Step 5: Solve for x
    x = 657,028.00/1,223.61
  6. Step 6: Final answer
    x = 536.96

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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.