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Finding the Fourth Proportional to 930.64, 1,284.06 and 581.08

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Solution

The fourth proportional to 930.64, 1,284.06 and 581.08 is: 801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.64 : 1,284.06 = 581.08 : x
  2. Step 2: Convert to fraction form
    930.64/1,284.06 = 581.08/x
  3. Step 3: Cross multiply
    930.64x = 1,284.06 × 581.08
  4. Step 4: Simplify right side
    930.64x = 746,141.58
  5. Step 5: Solve for x
    x = 746,141.58/930.64
  6. Step 6: Final answer
    x = 801.75

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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.