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Finding the Fourth Proportional to 1,354.34, 1,869 and 830.18

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Solution

The fourth proportional to 1,354.34, 1,869 and 830.18 is: 1,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.34 : 1,869 = 830.18 : x
  2. Step 2: Convert to fraction form
    1,354.34/1,869 = 830.18/x
  3. Step 3: Cross multiply
    1,354.34x = 1,869 × 830.18
  4. Step 4: Simplify right side
    1,354.34x = 1,551,606.42
  5. Step 5: Solve for x
    x = 1,551,606.42/1,354.34
  6. Step 6: Final answer
    x = 1,145.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.