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Finding the Fourth Proportional to 931.07, 1,284.87 and 511.43

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Solution

The fourth proportional to 931.07, 1,284.87 and 511.43 is: 705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.07 : 1,284.87 = 511.43 : x
  2. Step 2: Convert to fraction form
    931.07/1,284.87 = 511.43/x
  3. Step 3: Cross multiply
    931.07x = 1,284.87 × 511.43
  4. Step 4: Simplify right side
    931.07x = 657,124.28
  5. Step 5: Solve for x
    x = 657,124.28/931.07
  6. Step 6: Final answer
    x = 705.77

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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.