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Finding the Fourth Proportional to 903.83, 1,354.66 and 389.75

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Solution

The fourth proportional to 903.83, 1,354.66 and 389.75 is: 584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.83 : 1,354.66 = 389.75 : x
  2. Step 2: Convert to fraction form
    903.83/1,354.66 = 389.75/x
  3. Step 3: Cross multiply
    903.83x = 1,354.66 × 389.75
  4. Step 4: Simplify right side
    903.83x = 527,978.74
  5. Step 5: Solve for x
    x = 527,978.74/903.83
  6. Step 6: Final answer
    x = 584.16

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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.