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Finding the Fourth Proportional to 1,325.64, 1,829.49 and 736.23

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Solution

The fourth proportional to 1,325.64, 1,829.49 and 736.23 is: 1,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.64 : 1,829.49 = 736.23 : x
  2. Step 2: Convert to fraction form
    1,325.64/1,829.49 = 736.23/x
  3. Step 3: Cross multiply
    1,325.64x = 1,829.49 × 736.23
  4. Step 4: Simplify right side
    1,325.64x = 1,346,925.42
  5. Step 5: Solve for x
    x = 1,346,925.42/1,325.64
  6. Step 6: Final answer
    x = 1,016.06

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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.