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Finding the Fourth Proportional to 1,091.69, 1,506.54 and 594.33

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Solution

The fourth proportional to 1,091.69, 1,506.54 and 594.33 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.69 : 1,506.54 = 594.33 : x
  2. Step 2: Convert to fraction form
    1,091.69/1,506.54 = 594.33/x
  3. Step 3: Cross multiply
    1,091.69x = 1,506.54 × 594.33
  4. Step 4: Simplify right side
    1,091.69x = 895,381.92
  5. Step 5: Solve for x
    x = 895,381.92/1,091.69
  6. Step 6: Final answer
    x = 820.18

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Double scale
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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.