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Finding the Fourth Proportional to 931.22, 1,285.02 and 511.55

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Solution

The fourth proportional to 931.22, 1,285.02 and 511.55 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.22 : 1,285.02 = 511.55 : x
  2. Step 2: Convert to fraction form
    931.22/1,285.02 = 511.55/x
  3. Step 3: Cross multiply
    931.22x = 1,285.02 × 511.55
  4. Step 4: Simplify right side
    931.22x = 657,345.56
  5. Step 5: Solve for x
    x = 657,345.56/931.22
  6. Step 6: Final answer
    x = 705.90

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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.