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Finding the Fourth Proportional to 931.16, 1,284.99 and 511.50

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Solution

The fourth proportional to 931.16, 1,284.99 and 511.50 is: 705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.16 : 1,284.99 = 511.50 : x
  2. Step 2: Convert to fraction form
    931.16/1,284.99 = 511.50/x
  3. Step 3: Cross multiply
    931.16x = 1,284.99 × 511.50
  4. Step 4: Simplify right side
    931.16x = 657,272.39
  5. Step 5: Solve for x
    x = 657,272.39/931.16
  6. Step 6: Final answer
    x = 705.86

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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.