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Finding the Fourth Proportional to 842.63, 1,264.71 and 432.05

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Solution

The fourth proportional to 842.63, 1,264.71 and 432.05 is: 648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.63 : 1,264.71 = 432.05 : x
  2. Step 2: Convert to fraction form
    842.63/1,264.71 = 432.05/x
  3. Step 3: Cross multiply
    842.63x = 1,264.71 × 432.05
  4. Step 4: Simplify right side
    842.63x = 546,411.63
  5. Step 5: Solve for x
    x = 546,411.63/842.63
  6. Step 6: Final answer
    x = 648.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.