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Finding the Fourth Proportional to 1,265.86, 1,746.20 and 1,203.67

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Solution

The fourth proportional to 1,265.86, 1,746.20 and 1,203.67 is: 1,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.86 : 1,746.20 = 1,203.67 : x
  2. Step 2: Convert to fraction form
    1,265.86/1,746.20 = 1,203.67/x
  3. Step 3: Cross multiply
    1,265.86x = 1,746.20 × 1,203.67
  4. Step 4: Simplify right side
    1,265.86x = 2,101,847.20
  5. Step 5: Solve for x
    x = 2,101,847.20/1,265.86
  6. Step 6: Final answer
    x = 1,660.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.