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Finding the Fourth Proportional to 1,354.50, 1,869.24 and 830.88

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Solution

The fourth proportional to 1,354.50, 1,869.24 and 830.88 is: 1,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.50 : 1,869.24 = 830.88 : x
  2. Step 2: Convert to fraction form
    1,354.50/1,869.24 = 830.88/x
  3. Step 3: Cross multiply
    1,354.50x = 1,869.24 × 830.88
  4. Step 4: Simplify right side
    1,354.50x = 1,553,114.13
  5. Step 5: Solve for x
    x = 1,553,114.13/1,354.50
  6. Step 6: Final answer
    x = 1,146.63

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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.