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Finding the Fourth Proportional to 903.87, 1,355.99 and 514.05

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Solution

The fourth proportional to 903.87, 1,355.99 and 514.05 is: 771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.87 : 1,355.99 = 514.05 : x
  2. Step 2: Convert to fraction form
    903.87/1,355.99 = 514.05/x
  3. Step 3: Cross multiply
    903.87x = 1,355.99 × 514.05
  4. Step 4: Simplify right side
    903.87x = 697,046.66
  5. Step 5: Solve for x
    x = 697,046.66/903.87
  6. Step 6: Final answer
    x = 771.18

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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.