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Finding the Fourth Proportional to 1,142.98, 1,713.51 and 459.46

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Solution

The fourth proportional to 1,142.98, 1,713.51 and 459.46 is: 688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.98 : 1,713.51 = 459.46 : x
  2. Step 2: Convert to fraction form
    1,142.98/1,713.51 = 459.46/x
  3. Step 3: Cross multiply
    1,142.98x = 1,713.51 × 459.46
  4. Step 4: Simplify right side
    1,142.98x = 787,289.30
  5. Step 5: Solve for x
    x = 787,289.30/1,142.98
  6. Step 6: Final answer
    x = 688.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.