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Finding the Fourth Proportional to 928.49, 1,281.42 and 535.50

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Solution

The fourth proportional to 928.49, 1,281.42 and 535.50 is: 739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.49 : 1,281.42 = 535.50 : x
  2. Step 2: Convert to fraction form
    928.49/1,281.42 = 535.50/x
  3. Step 3: Cross multiply
    928.49x = 1,281.42 × 535.50
  4. Step 4: Simplify right side
    928.49x = 686,200.41
  5. Step 5: Solve for x
    x = 686,200.41/928.49
  6. Step 6: Final answer
    x = 739.05

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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.