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Finding the Fourth Proportional to 1,181.26, 1,630.14 and 657.28

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Solution

The fourth proportional to 1,181.26, 1,630.14 and 657.28 is: 907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.26 : 1,630.14 = 657.28 : x
  2. Step 2: Convert to fraction form
    1,181.26/1,630.14 = 657.28/x
  3. Step 3: Cross multiply
    1,181.26x = 1,630.14 × 657.28
  4. Step 4: Simplify right side
    1,181.26x = 1,071,458.42
  5. Step 5: Solve for x
    x = 1,071,458.42/1,181.26
  6. Step 6: Final answer
    x = 907.05

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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.