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Finding the Fourth Proportional to 902.91, 1,354.19 and 415.89

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Solution

The fourth proportional to 902.91, 1,354.19 and 415.89 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.91 : 1,354.19 = 415.89 : x
  2. Step 2: Convert to fraction form
    902.91/1,354.19 = 415.89/x
  3. Step 3: Cross multiply
    902.91x = 1,354.19 × 415.89
  4. Step 4: Simplify right side
    902.91x = 563,192.00
  5. Step 5: Solve for x
    x = 563,192.00/902.91
  6. Step 6: Final answer
    x = 623.75

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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.