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Finding the Fourth Proportional to 1,326.01, 1,829.56 and 736.40

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Solution

The fourth proportional to 1,326.01, 1,829.56 and 736.40 is: 1,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.01 : 1,829.56 = 736.40 : x
  2. Step 2: Convert to fraction form
    1,326.01/1,829.56 = 736.40/x
  3. Step 3: Cross multiply
    1,326.01x = 1,829.56 × 736.40
  4. Step 4: Simplify right side
    1,326.01x = 1,347,275.15
  5. Step 5: Solve for x
    x = 1,347,275.15/1,326.01
  6. Step 6: Final answer
    x = 1,016.04

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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.