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Finding the Fourth Proportional to 1,118.26, 1,675.21 and 598.08

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Solution

The fourth proportional to 1,118.26, 1,675.21 and 598.08 is: 895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.26 : 1,675.21 = 598.08 : x
  2. Step 2: Convert to fraction form
    1,118.26/1,675.21 = 598.08/x
  3. Step 3: Cross multiply
    1,118.26x = 1,675.21 × 598.08
  4. Step 4: Simplify right side
    1,118.26x = 1,001,909.60
  5. Step 5: Solve for x
    x = 1,001,909.60/1,118.26
  6. Step 6: Final answer
    x = 895.95

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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.