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Finding the Fourth Proportional to 1,276.08, 1,762.09 and 804.81

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Solution

The fourth proportional to 1,276.08, 1,762.09 and 804.81 is: 1,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.08 : 1,762.09 = 804.81 : x
  2. Step 2: Convert to fraction form
    1,276.08/1,762.09 = 804.81/x
  3. Step 3: Cross multiply
    1,276.08x = 1,762.09 × 804.81
  4. Step 4: Simplify right side
    1,276.08x = 1,418,156.78
  5. Step 5: Solve for x
    x = 1,418,156.78/1,276.08
  6. Step 6: Final answer
    x = 1,111.34

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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.