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Finding the Fourth Proportional to 1,435.72, 1,982.02 and 912.52

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Solution

The fourth proportional to 1,435.72, 1,982.02 and 912.52 is: 1,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.72 : 1,982.02 = 912.52 : x
  2. Step 2: Convert to fraction form
    1,435.72/1,982.02 = 912.52/x
  3. Step 3: Cross multiply
    1,435.72x = 1,982.02 × 912.52
  4. Step 4: Simplify right side
    1,435.72x = 1,808,632.89
  5. Step 5: Solve for x
    x = 1,808,632.89/1,435.72
  6. Step 6: Final answer
    x = 1,259.74

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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.