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Finding the Fourth Proportional to 1,281.85, 1,757.42 and 1,258.50

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Solution

The fourth proportional to 1,281.85, 1,757.42 and 1,258.50 is: 1,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.85 : 1,757.42 = 1,258.50 : x
  2. Step 2: Convert to fraction form
    1,281.85/1,757.42 = 1,258.50/x
  3. Step 3: Cross multiply
    1,281.85x = 1,757.42 × 1,258.50
  4. Step 4: Simplify right side
    1,281.85x = 2,211,697.99
  5. Step 5: Solve for x
    x = 2,211,697.99/1,281.85
  6. Step 6: Final answer
    x = 1,725.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.