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Finding the Fourth Proportional to 1,354.62, 1,869.41 and 830.35

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Solution

The fourth proportional to 1,354.62, 1,869.41 and 830.35 is: 1,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.62 : 1,869.41 = 830.35 : x
  2. Step 2: Convert to fraction form
    1,354.62/1,869.41 = 830.35/x
  3. Step 3: Cross multiply
    1,354.62x = 1,869.41 × 830.35
  4. Step 4: Simplify right side
    1,354.62x = 1,552,251.09
  5. Step 5: Solve for x
    x = 1,552,251.09/1,354.62
  6. Step 6: Final answer
    x = 1,145.90

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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.