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Finding the Fourth Proportional to 683.20, 1,030.48 and 651.20

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Solution

The fourth proportional to 683.20, 1,030.48 and 651.20 is: 982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.20 : 1,030.48 = 651.20 : x
  2. Step 2: Convert to fraction form
    683.20/1,030.48 = 651.20/x
  3. Step 3: Cross multiply
    683.20x = 1,030.48 × 651.20
  4. Step 4: Simplify right side
    683.20x = 671,048.58
  5. Step 5: Solve for x
    x = 671,048.58/683.20
  6. Step 6: Final answer
    x = 982.21

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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.