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Finding the Fourth Proportional to 1,274.92, 1,758.72 and 750.76

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Solution

The fourth proportional to 1,274.92, 1,758.72 and 750.76 is: 1,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.92 : 1,758.72 = 750.76 : x
  2. Step 2: Convert to fraction form
    1,274.92/1,758.72 = 750.76/x
  3. Step 3: Cross multiply
    1,274.92x = 1,758.72 × 750.76
  4. Step 4: Simplify right side
    1,274.92x = 1,320,376.63
  5. Step 5: Solve for x
    x = 1,320,376.63/1,274.92
  6. Step 6: Final answer
    x = 1,035.65

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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.