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Finding the Fourth Proportional to 1,421.80, 1,962.34 and 832.36

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Solution

The fourth proportional to 1,421.80, 1,962.34 and 832.36 is: 1,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.80 : 1,962.34 = 832.36 : x
  2. Step 2: Convert to fraction form
    1,421.80/1,962.34 = 832.36/x
  3. Step 3: Cross multiply
    1,421.80x = 1,962.34 × 832.36
  4. Step 4: Simplify right side
    1,421.80x = 1,633,373.32
  5. Step 5: Solve for x
    x = 1,633,373.32/1,421.80
  6. Step 6: Final answer
    x = 1,148.81

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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.