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Finding the Fourth Proportional to 1,266.05, 1,898.73 and 535.16

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Solution

The fourth proportional to 1,266.05, 1,898.73 and 535.16 is: 802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.05 : 1,898.73 = 535.16 : x
  2. Step 2: Convert to fraction form
    1,266.05/1,898.73 = 535.16/x
  3. Step 3: Cross multiply
    1,266.05x = 1,898.73 × 535.16
  4. Step 4: Simplify right side
    1,266.05x = 1,016,114.85
  5. Step 5: Solve for x
    x = 1,016,114.85/1,266.05
  6. Step 6: Final answer
    x = 802.59

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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.