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Finding the Fourth Proportional to 928.63, 1,281.54 and 535.69

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Solution

The fourth proportional to 928.63, 1,281.54 and 535.69 is: 739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.63 : 1,281.54 = 535.69 : x
  2. Step 2: Convert to fraction form
    928.63/1,281.54 = 535.69/x
  3. Step 3: Cross multiply
    928.63x = 1,281.54 × 535.69
  4. Step 4: Simplify right side
    928.63x = 686,508.16
  5. Step 5: Solve for x
    x = 686,508.16/928.63
  6. Step 6: Final answer
    x = 739.27

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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.