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Finding the Fourth Proportional to 1,006.34, 1,507.88 and 823.82

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Solution

The fourth proportional to 1,006.34, 1,507.88 and 823.82 is: 1,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.34 : 1,507.88 = 823.82 : x
  2. Step 2: Convert to fraction form
    1,006.34/1,507.88 = 823.82/x
  3. Step 3: Cross multiply
    1,006.34x = 1,507.88 × 823.82
  4. Step 4: Simplify right side
    1,006.34x = 1,242,221.70
  5. Step 5: Solve for x
    x = 1,242,221.70/1,006.34
  6. Step 6: Final answer
    x = 1,234.40

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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.