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Finding the Fourth Proportional to 1,155.19, 1,733.09 and 333.53

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Solution

The fourth proportional to 1,155.19, 1,733.09 and 333.53 is: 500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.19 : 1,733.09 = 333.53 : x
  2. Step 2: Convert to fraction form
    1,155.19/1,733.09 = 333.53/x
  3. Step 3: Cross multiply
    1,155.19x = 1,733.09 × 333.53
  4. Step 4: Simplify right side
    1,155.19x = 578,035.84
  5. Step 5: Solve for x
    x = 578,035.84/1,155.19
  6. Step 6: Final answer
    x = 500.38

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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.