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Finding the Fourth Proportional to 1,065.60, 1,598.94 and 449.82

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Solution

The fourth proportional to 1,065.60, 1,598.94 and 449.82 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.60 : 1,598.94 = 449.82 : x
  2. Step 2: Convert to fraction form
    1,065.60/1,598.94 = 449.82/x
  3. Step 3: Cross multiply
    1,065.60x = 1,598.94 × 449.82
  4. Step 4: Simplify right side
    1,065.60x = 719,235.19
  5. Step 5: Solve for x
    x = 719,235.19/1,065.60
  6. Step 6: Final answer
    x = 674.96

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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.