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Finding the Fourth Proportional to 928.46, 1,281.19 and 535.51

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Solution

The fourth proportional to 928.46, 1,281.19 and 535.51 is: 738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.46 : 1,281.19 = 535.51 : x
  2. Step 2: Convert to fraction form
    928.46/1,281.19 = 535.51/x
  3. Step 3: Cross multiply
    928.46x = 1,281.19 × 535.51
  4. Step 4: Simplify right side
    928.46x = 686,090.06
  5. Step 5: Solve for x
    x = 686,090.06/928.46
  6. Step 6: Final answer
    x = 738.95

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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.