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Finding the Fourth Proportional to 1,133.63, 1,700.59 and 403.28

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Solution

The fourth proportional to 1,133.63, 1,700.59 and 403.28 is: 604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.63 : 1,700.59 = 403.28 : x
  2. Step 2: Convert to fraction form
    1,133.63/1,700.59 = 403.28/x
  3. Step 3: Cross multiply
    1,133.63x = 1,700.59 × 403.28
  4. Step 4: Simplify right side
    1,133.63x = 685,817.18
  5. Step 5: Solve for x
    x = 685,817.18/1,133.63
  6. Step 6: Final answer
    x = 604.97

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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.