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Finding the Fourth Proportional to 1,094.53, 1,649.17 and 976.63

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Solution

The fourth proportional to 1,094.53, 1,649.17 and 976.63 is: 1,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.53 : 1,649.17 = 976.63 : x
  2. Step 2: Convert to fraction form
    1,094.53/1,649.17 = 976.63/x
  3. Step 3: Cross multiply
    1,094.53x = 1,649.17 × 976.63
  4. Step 4: Simplify right side
    1,094.53x = 1,610,628.90
  5. Step 5: Solve for x
    x = 1,610,628.90/1,094.53
  6. Step 6: Final answer
    x = 1,471.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.