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Finding the Fourth Proportional to 1,102.44, 1,649.88 and 1,057.08

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Solution

The fourth proportional to 1,102.44, 1,649.88 and 1,057.08 is: 1,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.44 : 1,649.88 = 1,057.08 : x
  2. Step 2: Convert to fraction form
    1,102.44/1,649.88 = 1,057.08/x
  3. Step 3: Cross multiply
    1,102.44x = 1,649.88 × 1,057.08
  4. Step 4: Simplify right side
    1,102.44x = 1,744,055.15
  5. Step 5: Solve for x
    x = 1,744,055.15/1,102.44
  6. Step 6: Final answer
    x = 1,582.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.