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Finding the Fourth Proportional to 1,214.46, 1,676.52 and 921.06

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Solution

The fourth proportional to 1,214.46, 1,676.52 and 921.06 is: 1,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.46 : 1,676.52 = 921.06 : x
  2. Step 2: Convert to fraction form
    1,214.46/1,676.52 = 921.06/x
  3. Step 3: Cross multiply
    1,214.46x = 1,676.52 × 921.06
  4. Step 4: Simplify right side
    1,214.46x = 1,544,175.51
  5. Step 5: Solve for x
    x = 1,544,175.51/1,214.46
  6. Step 6: Final answer
    x = 1,271.49

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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.