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Finding the Fourth Proportional to 1,276.02, 1,760.94 and 804.06

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Solution

The fourth proportional to 1,276.02, 1,760.94 and 804.06 is: 1,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.02 : 1,760.94 = 804.06 : x
  2. Step 2: Convert to fraction form
    1,276.02/1,760.94 = 804.06/x
  3. Step 3: Cross multiply
    1,276.02x = 1,760.94 × 804.06
  4. Step 4: Simplify right side
    1,276.02x = 1,415,901.42
  5. Step 5: Solve for x
    x = 1,415,901.42/1,276.02
  6. Step 6: Final answer
    x = 1,109.62

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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.