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Finding the Fourth Proportional to 1,043.51, 1,565.71 and 394.43

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Solution

The fourth proportional to 1,043.51, 1,565.71 and 394.43 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.51 : 1,565.71 = 394.43 : x
  2. Step 2: Convert to fraction form
    1,043.51/1,565.71 = 394.43/x
  3. Step 3: Cross multiply
    1,043.51x = 1,565.71 × 394.43
  4. Step 4: Simplify right side
    1,043.51x = 617,554.18
  5. Step 5: Solve for x
    x = 617,554.18/1,043.51
  6. Step 6: Final answer
    x = 591.81

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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.