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Finding the Fourth Proportional to 1,274.86, 1,760.16 and 751.06

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Solution

The fourth proportional to 1,274.86, 1,760.16 and 751.06 is: 1,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.86 : 1,760.16 = 751.06 : x
  2. Step 2: Convert to fraction form
    1,274.86/1,760.16 = 751.06/x
  3. Step 3: Cross multiply
    1,274.86x = 1,760.16 × 751.06
  4. Step 4: Simplify right side
    1,274.86x = 1,321,985.77
  5. Step 5: Solve for x
    x = 1,321,985.77/1,274.86
  6. Step 6: Final answer
    x = 1,036.97

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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.