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Finding the Fourth Proportional to 1,135.57, 1,703.22 and 366.07

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Solution

The fourth proportional to 1,135.57, 1,703.22 and 366.07 is: 549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.57 : 1,703.22 = 366.07 : x
  2. Step 2: Convert to fraction form
    1,135.57/1,703.22 = 366.07/x
  3. Step 3: Cross multiply
    1,135.57x = 1,703.22 × 366.07
  4. Step 4: Simplify right side
    1,135.57x = 623,497.75
  5. Step 5: Solve for x
    x = 623,497.75/1,135.57
  6. Step 6: Final answer
    x = 549.06

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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.