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Finding the Fourth Proportional to 1,266.18, 1,896.76 and 598.16

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Solution

The fourth proportional to 1,266.18, 1,896.76 and 598.16 is: 896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.18 : 1,896.76 = 598.16 : x
  2. Step 2: Convert to fraction form
    1,266.18/1,896.76 = 598.16/x
  3. Step 3: Cross multiply
    1,266.18x = 1,896.76 × 598.16
  4. Step 4: Simplify right side
    1,266.18x = 1,134,565.96
  5. Step 5: Solve for x
    x = 1,134,565.96/1,266.18
  6. Step 6: Final answer
    x = 896.05

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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.