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Finding the Fourth Proportional to 1,161.56, 1,602.98 and 657.38

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Solution

The fourth proportional to 1,161.56, 1,602.98 and 657.38 is: 907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.56 : 1,602.98 = 657.38 : x
  2. Step 2: Convert to fraction form
    1,161.56/1,602.98 = 657.38/x
  3. Step 3: Cross multiply
    1,161.56x = 1,602.98 × 657.38
  4. Step 4: Simplify right side
    1,161.56x = 1,053,760.62
  5. Step 5: Solve for x
    x = 1,053,760.62/1,161.56
  6. Step 6: Final answer
    x = 907.20

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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.