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Finding the Fourth Proportional to 857.74, 1,285.59 and 395.14

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Solution

The fourth proportional to 857.74, 1,285.59 and 395.14 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.74 : 1,285.59 = 395.14 : x
  2. Step 2: Convert to fraction form
    857.74/1,285.59 = 395.14/x
  3. Step 3: Cross multiply
    857.74x = 1,285.59 × 395.14
  4. Step 4: Simplify right side
    857.74x = 507,988.03
  5. Step 5: Solve for x
    x = 507,988.03/857.74
  6. Step 6: Final answer
    x = 592.24

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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.