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Finding the Fourth Proportional to 1,133.96, 1,701.08 and 403.35

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Solution

The fourth proportional to 1,133.96, 1,701.08 and 403.35 is: 605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.96 : 1,701.08 = 403.35 : x
  2. Step 2: Convert to fraction form
    1,133.96/1,701.08 = 403.35/x
  3. Step 3: Cross multiply
    1,133.96x = 1,701.08 × 403.35
  4. Step 4: Simplify right side
    1,133.96x = 686,128.60
  5. Step 5: Solve for x
    x = 686,128.60/1,133.96
  6. Step 6: Final answer
    x = 605.08

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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.