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Finding the Fourth Proportional to 931.17, 1,284.96 and 511.47

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Solution

The fourth proportional to 931.17, 1,284.96 and 511.47 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.17 : 1,284.96 = 511.47 : x
  2. Step 2: Convert to fraction form
    931.17/1,284.96 = 511.47/x
  3. Step 3: Cross multiply
    931.17x = 1,284.96 × 511.47
  4. Step 4: Simplify right side
    931.17x = 657,218.49
  5. Step 5: Solve for x
    x = 657,218.49/931.17
  6. Step 6: Final answer
    x = 705.80

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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.