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Finding the Fourth Proportional to 1,435.04, 2,152.68 and 665.12

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Solution

The fourth proportional to 1,435.04, 2,152.68 and 665.12 is: 997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.04 : 2,152.68 = 665.12 : x
  2. Step 2: Convert to fraction form
    1,435.04/2,152.68 = 665.12/x
  3. Step 3: Cross multiply
    1,435.04x = 2,152.68 × 665.12
  4. Step 4: Simplify right side
    1,435.04x = 1,431,790.52
  5. Step 5: Solve for x
    x = 1,431,790.52/1,435.04
  6. Step 6: Final answer
    x = 997.74

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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.