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Finding the Fourth Proportional to 1,094.68, 1,642.11 and 658.90

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Solution

The fourth proportional to 1,094.68, 1,642.11 and 658.90 is: 988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.68 : 1,642.11 = 658.90 : x
  2. Step 2: Convert to fraction form
    1,094.68/1,642.11 = 658.90/x
  3. Step 3: Cross multiply
    1,094.68x = 1,642.11 × 658.90
  4. Step 4: Simplify right side
    1,094.68x = 1,081,986.28
  5. Step 5: Solve for x
    x = 1,081,986.28/1,094.68
  6. Step 6: Final answer
    x = 988.40

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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.