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Finding the Fourth Proportional to 1,087.34, 1,630.46 and 356.45

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Solution

The fourth proportional to 1,087.34, 1,630.46 and 356.45 is: 534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.34 : 1,630.46 = 356.45 : x
  2. Step 2: Convert to fraction form
    1,087.34/1,630.46 = 356.45/x
  3. Step 3: Cross multiply
    1,087.34x = 1,630.46 × 356.45
  4. Step 4: Simplify right side
    1,087.34x = 581,170.21
  5. Step 5: Solve for x
    x = 581,170.21/1,087.34
  6. Step 6: Final answer
    x = 534.49

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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.