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Finding the Fourth Proportional to 1,038.02, 1,431.99 and 664.82

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Solution

The fourth proportional to 1,038.02, 1,431.99 and 664.82 is: 917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.02 : 1,431.99 = 664.82 : x
  2. Step 2: Convert to fraction form
    1,038.02/1,431.99 = 664.82/x
  3. Step 3: Cross multiply
    1,038.02x = 1,431.99 × 664.82
  4. Step 4: Simplify right side
    1,038.02x = 952,012.27
  5. Step 5: Solve for x
    x = 952,012.27/1,038.02
  6. Step 6: Final answer
    x = 917.14

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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.