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Finding the Fourth Proportional to 1,142.51, 1,713.83 and 362.60

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Solution

The fourth proportional to 1,142.51, 1,713.83 and 362.60 is: 543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.51 : 1,713.83 = 362.60 : x
  2. Step 2: Convert to fraction form
    1,142.51/1,713.83 = 362.60/x
  3. Step 3: Cross multiply
    1,142.51x = 1,713.83 × 362.60
  4. Step 4: Simplify right side
    1,142.51x = 621,434.76
  5. Step 5: Solve for x
    x = 621,434.76/1,142.51
  6. Step 6: Final answer
    x = 543.92

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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.