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Finding the Fourth Proportional to 815.93, 1,224.03 and 405.08

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Solution

The fourth proportional to 815.93, 1,224.03 and 405.08 is: 607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.93 : 1,224.03 = 405.08 : x
  2. Step 2: Convert to fraction form
    815.93/1,224.03 = 405.08/x
  3. Step 3: Cross multiply
    815.93x = 1,224.03 × 405.08
  4. Step 4: Simplify right side
    815.93x = 495,830.07
  5. Step 5: Solve for x
    x = 495,830.07/815.93
  6. Step 6: Final answer
    x = 607.69

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Why These Related Problems?

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