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Finding the Fourth Proportional to 1,354.19, 2,028.53 and 703.55

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Solution

The fourth proportional to 1,354.19, 2,028.53 and 703.55 is: 1,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.19 : 2,028.53 = 703.55 : x
  2. Step 2: Convert to fraction form
    1,354.19/2,028.53 = 703.55/x
  3. Step 3: Cross multiply
    1,354.19x = 2,028.53 × 703.55
  4. Step 4: Simplify right side
    1,354.19x = 1,427,179.11
  5. Step 5: Solve for x
    x = 1,427,179.11/1,354.19
  6. Step 6: Final answer
    x = 1,053.90

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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.