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Finding the Fourth Proportional to 1,354.12, 2,030.94 and 380.32

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Solution

The fourth proportional to 1,354.12, 2,030.94 and 380.32 is: 570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.12 : 2,030.94 = 380.32 : x
  2. Step 2: Convert to fraction form
    1,354.12/2,030.94 = 380.32/x
  3. Step 3: Cross multiply
    1,354.12x = 2,030.94 × 380.32
  4. Step 4: Simplify right side
    1,354.12x = 772,407.10
  5. Step 5: Solve for x
    x = 772,407.10/1,354.12
  6. Step 6: Final answer
    x = 570.41

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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.