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Finding the Fourth Proportional to 1,214.14, 1,673.18 and 840.43

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Solution

The fourth proportional to 1,214.14, 1,673.18 and 840.43 is: 1,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.14 : 1,673.18 = 840.43 : x
  2. Step 2: Convert to fraction form
    1,214.14/1,673.18 = 840.43/x
  3. Step 3: Cross multiply
    1,214.14x = 1,673.18 × 840.43
  4. Step 4: Simplify right side
    1,214.14x = 1,406,184.66
  5. Step 5: Solve for x
    x = 1,406,184.66/1,214.14
  6. Step 6: Final answer
    x = 1,158.17

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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.