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Finding the Fourth Proportional to 1,317.32, 1,817.94 and 727.85

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Solution

The fourth proportional to 1,317.32, 1,817.94 and 727.85 is: 1,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.32 : 1,817.94 = 727.85 : x
  2. Step 2: Convert to fraction form
    1,317.32/1,817.94 = 727.85/x
  3. Step 3: Cross multiply
    1,317.32x = 1,817.94 × 727.85
  4. Step 4: Simplify right side
    1,317.32x = 1,323,187.63
  5. Step 5: Solve for x
    x = 1,323,187.63/1,317.32
  6. Step 6: Final answer
    x = 1,004.45

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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.