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Finding the Fourth Proportional to 736.09, 1,104.13 and 430.08

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Solution

The fourth proportional to 736.09, 1,104.13 and 430.08 is: 645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.09 : 1,104.13 = 430.08 : x
  2. Step 2: Convert to fraction form
    736.09/1,104.13 = 430.08/x
  3. Step 3: Cross multiply
    736.09x = 1,104.13 × 430.08
  4. Step 4: Simplify right side
    736.09x = 474,858.71
  5. Step 5: Solve for x
    x = 474,858.71/736.09
  6. Step 6: Final answer
    x = 645.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.