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Finding the Fourth Proportional to 931.37, 1,285.29 and 511.71

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Solution

The fourth proportional to 931.37, 1,285.29 and 511.71 is: 706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.37 : 1,285.29 = 511.71 : x
  2. Step 2: Convert to fraction form
    931.37/1,285.29 = 511.71/x
  3. Step 3: Cross multiply
    931.37x = 1,285.29 × 511.71
  4. Step 4: Simplify right side
    931.37x = 657,695.75
  5. Step 5: Solve for x
    x = 657,695.75/931.37
  6. Step 6: Final answer
    x = 706.16

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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.