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Finding the Fourth Proportional to 903.15, 1,354.73 and 415.94

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Solution

The fourth proportional to 903.15, 1,354.73 and 415.94 is: 623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.15 : 1,354.73 = 415.94 : x
  2. Step 2: Convert to fraction form
    903.15/1,354.73 = 415.94/x
  3. Step 3: Cross multiply
    903.15x = 1,354.73 × 415.94
  4. Step 4: Simplify right side
    903.15x = 563,477.54
  5. Step 5: Solve for x
    x = 563,477.54/903.15
  6. Step 6: Final answer
    x = 623.90

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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.