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Finding the Fourth Proportional to 1,276.62, 1,762.20 and 753.09

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Solution

The fourth proportional to 1,276.62, 1,762.20 and 753.09 is: 1,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.62 : 1,762.20 = 753.09 : x
  2. Step 2: Convert to fraction form
    1,276.62/1,762.20 = 753.09/x
  3. Step 3: Cross multiply
    1,276.62x = 1,762.20 × 753.09
  4. Step 4: Simplify right side
    1,276.62x = 1,327,095.20
  5. Step 5: Solve for x
    x = 1,327,095.20/1,276.62
  6. Step 6: Final answer
    x = 1,039.54

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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.