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Finding the Fourth Proportional to 1,094.22, 1,632.65 and 1,000.26

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Solution

The fourth proportional to 1,094.22, 1,632.65 and 1,000.26 is: 1,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.22 : 1,632.65 = 1,000.26 : x
  2. Step 2: Convert to fraction form
    1,094.22/1,632.65 = 1,000.26/x
  3. Step 3: Cross multiply
    1,094.22x = 1,632.65 × 1,000.26
  4. Step 4: Simplify right side
    1,094.22x = 1,633,069.49
  5. Step 5: Solve for x
    x = 1,633,069.49/1,094.22
  6. Step 6: Final answer
    x = 1,492.45

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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.