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Finding the Fourth Proportional to 847.10, 1,270.65 and 628.40

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Solution

The fourth proportional to 847.10, 1,270.65 and 628.40 is: 942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.10 : 1,270.65 = 628.40 : x
  2. Step 2: Convert to fraction form
    847.10/1,270.65 = 628.40/x
  3. Step 3: Cross multiply
    847.10x = 1,270.65 × 628.40
  4. Step 4: Simplify right side
    847.10x = 798,476.46
  5. Step 5: Solve for x
    x = 798,476.46/847.10
  6. Step 6: Final answer
    x = 942.60

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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.