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Finding the Fourth Proportional to 1,158.42, 1,598.46 and 654.26

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Solution

The fourth proportional to 1,158.42, 1,598.46 and 654.26 is: 902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.42 : 1,598.46 = 654.26 : x
  2. Step 2: Convert to fraction form
    1,158.42/1,598.46 = 654.26/x
  3. Step 3: Cross multiply
    1,158.42x = 1,598.46 × 654.26
  4. Step 4: Simplify right side
    1,158.42x = 1,045,808.44
  5. Step 5: Solve for x
    x = 1,045,808.44/1,158.42
  6. Step 6: Final answer
    x = 902.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.