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Finding the Fourth Proportional to 859.15, 1,185.65 and 505.33

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Solution

The fourth proportional to 859.15, 1,185.65 and 505.33 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.15 : 1,185.65 = 505.33 : x
  2. Step 2: Convert to fraction form
    859.15/1,185.65 = 505.33/x
  3. Step 3: Cross multiply
    859.15x = 1,185.65 × 505.33
  4. Step 4: Simplify right side
    859.15x = 599,144.51
  5. Step 5: Solve for x
    x = 599,144.51/859.15
  6. Step 6: Final answer
    x = 697.37

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Double scale
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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.