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Finding the Fourth Proportional to 1,267.44, 1,746.54 and 1,233.48

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Solution

The fourth proportional to 1,267.44, 1,746.54 and 1,233.48 is: 1,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.44 : 1,746.54 = 1,233.48 : x
  2. Step 2: Convert to fraction form
    1,267.44/1,746.54 = 1,233.48/x
  3. Step 3: Cross multiply
    1,267.44x = 1,746.54 × 1,233.48
  4. Step 4: Simplify right side
    1,267.44x = 2,154,322.16
  5. Step 5: Solve for x
    x = 2,154,322.16/1,267.44
  6. Step 6: Final answer
    x = 1,699.74

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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.