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Finding the Fourth Proportional to 931.60, 1,285.64 and 511.96

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Solution

The fourth proportional to 931.60, 1,285.64 and 511.96 is: 706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.60 : 1,285.64 = 511.96 : x
  2. Step 2: Convert to fraction form
    931.60/1,285.64 = 511.96/x
  3. Step 3: Cross multiply
    931.60x = 1,285.64 × 511.96
  4. Step 4: Simplify right side
    931.60x = 658,196.25
  5. Step 5: Solve for x
    x = 658,196.25/931.60
  6. Step 6: Final answer
    x = 706.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.