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Finding the Fourth Proportional to 1,284.92, 1,772.40 and 760.82

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Solution

The fourth proportional to 1,284.92, 1,772.40 and 760.82 is: 1,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.92 : 1,772.40 = 760.82 : x
  2. Step 2: Convert to fraction form
    1,284.92/1,772.40 = 760.82/x
  3. Step 3: Cross multiply
    1,284.92x = 1,772.40 × 760.82
  4. Step 4: Simplify right side
    1,284.92x = 1,348,477.37
  5. Step 5: Solve for x
    x = 1,348,477.37/1,284.92
  6. Step 6: Final answer
    x = 1,049.46

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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.