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Finding the Fourth Proportional to 657.60, 931.61 and 657.60

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Solution

The fourth proportional to 657.60, 931.61 and 657.60 is: 931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.60 : 931.61 = 657.60 : x
  2. Step 2: Convert to fraction form
    657.60/931.61 = 657.60/x
  3. Step 3: Cross multiply
    657.60x = 931.61 × 657.60
  4. Step 4: Simplify right side
    657.60x = 612,623.45
  5. Step 5: Solve for x
    x = 612,623.45/657.60
  6. Step 6: Final answer
    x = 931.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.