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Finding the Fourth Proportional to 1,209.60, 1,812.96 and 689.04

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Solution

The fourth proportional to 1,209.60, 1,812.96 and 689.04 is: 1,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.60 : 1,812.96 = 689.04 : x
  2. Step 2: Convert to fraction form
    1,209.60/1,812.96 = 689.04/x
  3. Step 3: Cross multiply
    1,209.60x = 1,812.96 × 689.04
  4. Step 4: Simplify right side
    1,209.60x = 1,249,201.96
  5. Step 5: Solve for x
    x = 1,249,201.96/1,209.60
  6. Step 6: Final answer
    x = 1,032.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.