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Finding the Fourth Proportional to 1,106.58, 1,672.41 and 1,087.45

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Solution

The fourth proportional to 1,106.58, 1,672.41 and 1,087.45 is: 1,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.58 : 1,672.41 = 1,087.45 : x
  2. Step 2: Convert to fraction form
    1,106.58/1,672.41 = 1,087.45/x
  3. Step 3: Cross multiply
    1,106.58x = 1,672.41 × 1,087.45
  4. Step 4: Simplify right side
    1,106.58x = 1,818,662.25
  5. Step 5: Solve for x
    x = 1,818,662.25/1,106.58
  6. Step 6: Final answer
    x = 1,643.50

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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.