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Finding the Fourth Proportional to 1,103.72, 1,655.61 and 282.00

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Solution

The fourth proportional to 1,103.72, 1,655.61 and 282.00 is: 423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.72 : 1,655.61 = 282.00 : x
  2. Step 2: Convert to fraction form
    1,103.72/1,655.61 = 282.00/x
  3. Step 3: Cross multiply
    1,103.72x = 1,655.61 × 282.00
  4. Step 4: Simplify right side
    1,103.72x = 466,887.17
  5. Step 5: Solve for x
    x = 466,887.17/1,103.72
  6. Step 6: Final answer
    x = 423.01

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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.