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Finding the Fourth Proportional to 657.89, 982.01 and 580.04

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Solution

The fourth proportional to 657.89, 982.01 and 580.04 is: 865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.89 : 982.01 = 580.04 : x
  2. Step 2: Convert to fraction form
    657.89/982.01 = 580.04/x
  3. Step 3: Cross multiply
    657.89x = 982.01 × 580.04
  4. Step 4: Simplify right side
    657.89x = 569,602.18
  5. Step 5: Solve for x
    x = 569,602.18/657.89
  6. Step 6: Final answer
    x = 865.81

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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.