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Finding the Fourth Proportional to 1,332.34, 1,997.14 and 782.85

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Solution

The fourth proportional to 1,332.34, 1,997.14 and 782.85 is: 1,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.34 : 1,997.14 = 782.85 : x
  2. Step 2: Convert to fraction form
    1,332.34/1,997.14 = 782.85/x
  3. Step 3: Cross multiply
    1,332.34x = 1,997.14 × 782.85
  4. Step 4: Simplify right side
    1,332.34x = 1,563,461.05
  5. Step 5: Solve for x
    x = 1,563,461.05/1,332.34
  6. Step 6: Final answer
    x = 1,173.47

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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.