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Finding the Fourth Proportional to 1,104.40, 1,646.84 and 1,094.50

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Solution

The fourth proportional to 1,104.40, 1,646.84 and 1,094.50 is: 1,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.40 : 1,646.84 = 1,094.50 : x
  2. Step 2: Convert to fraction form
    1,104.40/1,646.84 = 1,094.50/x
  3. Step 3: Cross multiply
    1,104.40x = 1,646.84 × 1,094.50
  4. Step 4: Simplify right side
    1,104.40x = 1,802,466.38
  5. Step 5: Solve for x
    x = 1,802,466.38/1,104.40
  6. Step 6: Final answer
    x = 1,632.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.