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Finding the Fourth Proportional to 1,209.76, 1,670.14 and 832.20

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Solution

The fourth proportional to 1,209.76, 1,670.14 and 832.20 is: 1,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.76 : 1,670.14 = 832.20 : x
  2. Step 2: Convert to fraction form
    1,209.76/1,670.14 = 832.20/x
  3. Step 3: Cross multiply
    1,209.76x = 1,670.14 × 832.20
  4. Step 4: Simplify right side
    1,209.76x = 1,389,890.51
  5. Step 5: Solve for x
    x = 1,389,890.51/1,209.76
  6. Step 6: Final answer
    x = 1,148.90

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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.