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Finding the Fourth Proportional to 931.09, 1,284.95 and 511.46

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Solution

The fourth proportional to 931.09, 1,284.95 and 511.46 is: 705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.09 : 1,284.95 = 511.46 : x
  2. Step 2: Convert to fraction form
    931.09/1,284.95 = 511.46/x
  3. Step 3: Cross multiply
    931.09x = 1,284.95 × 511.46
  4. Step 4: Simplify right side
    931.09x = 657,200.53
  5. Step 5: Solve for x
    x = 657,200.53/931.09
  6. Step 6: Final answer
    x = 705.84

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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.