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Finding the Fourth Proportional to 1,422.37, 2,133.92 and 435.16

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Solution

The fourth proportional to 1,422.37, 2,133.92 and 435.16 is: 652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.37 : 2,133.92 = 435.16 : x
  2. Step 2: Convert to fraction form
    1,422.37/2,133.92 = 435.16/x
  3. Step 3: Cross multiply
    1,422.37x = 2,133.92 × 435.16
  4. Step 4: Simplify right side
    1,422.37x = 928,596.63
  5. Step 5: Solve for x
    x = 928,596.63/1,422.37
  6. Step 6: Final answer
    x = 652.85

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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.