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Finding the Fourth Proportional to 910.25, 1,364.01 and 520.05

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Solution

The fourth proportional to 910.25, 1,364.01 and 520.05 is: 779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.25 : 1,364.01 = 520.05 : x
  2. Step 2: Convert to fraction form
    910.25/1,364.01 = 520.05/x
  3. Step 3: Cross multiply
    910.25x = 1,364.01 × 520.05
  4. Step 4: Simplify right side
    910.25x = 709,353.40
  5. Step 5: Solve for x
    x = 709,353.40/910.25
  6. Step 6: Final answer
    x = 779.30

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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.