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Finding the Fourth Proportional to 1,143.51, 1,715.54 and 321.78

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Solution

The fourth proportional to 1,143.51, 1,715.54 and 321.78 is: 482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.51 : 1,715.54 = 321.78 : x
  2. Step 2: Convert to fraction form
    1,143.51/1,715.54 = 321.78/x
  3. Step 3: Cross multiply
    1,143.51x = 1,715.54 × 321.78
  4. Step 4: Simplify right side
    1,143.51x = 552,026.46
  5. Step 5: Solve for x
    x = 552,026.46/1,143.51
  6. Step 6: Final answer
    x = 482.75

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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.