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Finding the Fourth Proportional to 1,314.27, 1,814.53 and 817.58

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Solution

The fourth proportional to 1,314.27, 1,814.53 and 817.58 is: 1,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.27 : 1,814.53 = 817.58 : x
  2. Step 2: Convert to fraction form
    1,314.27/1,814.53 = 817.58/x
  3. Step 3: Cross multiply
    1,314.27x = 1,814.53 × 817.58
  4. Step 4: Simplify right side
    1,314.27x = 1,483,523.44
  5. Step 5: Solve for x
    x = 1,483,523.44/1,314.27
  6. Step 6: Final answer
    x = 1,128.79

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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.