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Finding the Fourth Proportional to 1,092.63, 1,507.32 and 738.10

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Solution

The fourth proportional to 1,092.63, 1,507.32 and 738.10 is: 1,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.63 : 1,507.32 = 738.10 : x
  2. Step 2: Convert to fraction form
    1,092.63/1,507.32 = 738.10/x
  3. Step 3: Cross multiply
    1,092.63x = 1,507.32 × 738.10
  4. Step 4: Simplify right side
    1,092.63x = 1,112,552.89
  5. Step 5: Solve for x
    x = 1,112,552.89/1,092.63
  6. Step 6: Final answer
    x = 1,018.23

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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.