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Finding the Fourth Proportional to 1,043.55, 1,565.34 and 274.05

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Solution

The fourth proportional to 1,043.55, 1,565.34 and 274.05 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.55 : 1,565.34 = 274.05 : x
  2. Step 2: Convert to fraction form
    1,043.55/1,565.34 = 274.05/x
  3. Step 3: Cross multiply
    1,043.55x = 1,565.34 × 274.05
  4. Step 4: Simplify right side
    1,043.55x = 428,981.43
  5. Step 5: Solve for x
    x = 428,981.43/1,043.55
  6. Step 6: Final answer
    x = 411.08

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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.