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Finding the Fourth Proportional to 1,213.25, 1,673.53 and 840.24

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Solution

The fourth proportional to 1,213.25, 1,673.53 and 840.24 is: 1,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.25 : 1,673.53 = 840.24 : x
  2. Step 2: Convert to fraction form
    1,213.25/1,673.53 = 840.24/x
  3. Step 3: Cross multiply
    1,213.25x = 1,673.53 × 840.24
  4. Step 4: Simplify right side
    1,213.25x = 1,406,164.75
  5. Step 5: Solve for x
    x = 1,406,164.75/1,213.25
  6. Step 6: Final answer
    x = 1,159.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.