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Finding the Fourth Proportional to 683.65, 1,030.09 and 564.58

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Solution

The fourth proportional to 683.65, 1,030.09 and 564.58 is: 850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 1,030.09 = 564.58 : x
  2. Step 2: Convert to fraction form
    683.65/1,030.09 = 564.58/x
  3. Step 3: Cross multiply
    683.65x = 1,030.09 × 564.58
  4. Step 4: Simplify right side
    683.65x = 581,563.17
  5. Step 5: Solve for x
    x = 581,563.17/683.65
  6. Step 6: Final answer
    x = 850.68

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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.