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Finding the Fourth Proportional to 1,065.43, 1,598.13 and 285.41

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Solution

The fourth proportional to 1,065.43, 1,598.13 and 285.41 is: 428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.43 : 1,598.13 = 285.41 : x
  2. Step 2: Convert to fraction form
    1,065.43/1,598.13 = 285.41/x
  3. Step 3: Cross multiply
    1,065.43x = 1,598.13 × 285.41
  4. Step 4: Simplify right side
    1,065.43x = 456,119.00
  5. Step 5: Solve for x
    x = 456,119.00/1,065.43
  6. Step 6: Final answer
    x = 428.11

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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.