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Finding the Fourth Proportional to 1,142.40, 1,713.99 and 594.93

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Solution

The fourth proportional to 1,142.40, 1,713.99 and 594.93 is: 892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.40 : 1,713.99 = 594.93 : x
  2. Step 2: Convert to fraction form
    1,142.40/1,713.99 = 594.93/x
  3. Step 3: Cross multiply
    1,142.40x = 1,713.99 × 594.93
  4. Step 4: Simplify right side
    1,142.40x = 1,019,704.07
  5. Step 5: Solve for x
    x = 1,019,704.07/1,142.40
  6. Step 6: Final answer
    x = 892.60

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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.