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Finding the Fourth Proportional to 1,059.63, 1,589.66 and 329.17

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Solution

The fourth proportional to 1,059.63, 1,589.66 and 329.17 is: 493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.63 : 1,589.66 = 329.17 : x
  2. Step 2: Convert to fraction form
    1,059.63/1,589.66 = 329.17/x
  3. Step 3: Cross multiply
    1,059.63x = 1,589.66 × 329.17
  4. Step 4: Simplify right side
    1,059.63x = 523,268.38
  5. Step 5: Solve for x
    x = 523,268.38/1,059.63
  6. Step 6: Final answer
    x = 493.82

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.