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Finding the Fourth Proportional to 1,223.36, 1,835.08 and 454.40

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Solution

The fourth proportional to 1,223.36, 1,835.08 and 454.40 is: 681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.36 : 1,835.08 = 454.40 : x
  2. Step 2: Convert to fraction form
    1,223.36/1,835.08 = 454.40/x
  3. Step 3: Cross multiply
    1,223.36x = 1,835.08 × 454.40
  4. Step 4: Simplify right side
    1,223.36x = 833,860.35
  5. Step 5: Solve for x
    x = 833,860.35/1,223.36
  6. Step 6: Final answer
    x = 681.61

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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.