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Finding the Fourth Proportional to 1,112.42, 1,534.99 and 664.29

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Solution

The fourth proportional to 1,112.42, 1,534.99 and 664.29 is: 916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.42 : 1,534.99 = 664.29 : x
  2. Step 2: Convert to fraction form
    1,112.42/1,534.99 = 664.29/x
  3. Step 3: Cross multiply
    1,112.42x = 1,534.99 × 664.29
  4. Step 4: Simplify right side
    1,112.42x = 1,019,678.51
  5. Step 5: Solve for x
    x = 1,019,678.51/1,112.42
  6. Step 6: Final answer
    x = 916.63

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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.