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Finding the Fourth Proportional to 1,182.23, 1,773.35 and 412.19

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Solution

The fourth proportional to 1,182.23, 1,773.35 and 412.19 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.23 : 1,773.35 = 412.19 : x
  2. Step 2: Convert to fraction form
    1,182.23/1,773.35 = 412.19/x
  3. Step 3: Cross multiply
    1,182.23x = 1,773.35 × 412.19
  4. Step 4: Simplify right side
    1,182.23x = 730,957.14
  5. Step 5: Solve for x
    x = 730,957.14/1,182.23
  6. Step 6: Final answer
    x = 618.29

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Double scale
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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.