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Finding the Fourth Proportional to 1,380.90, 2,070.90 and 456.30

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Solution

The fourth proportional to 1,380.90, 2,070.90 and 456.30 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.90 : 2,070.90 = 456.30 : x
  2. Step 2: Convert to fraction form
    1,380.90/2,070.90 = 456.30/x
  3. Step 3: Cross multiply
    1,380.90x = 2,070.90 × 456.30
  4. Step 4: Simplify right side
    1,380.90x = 944,951.67
  5. Step 5: Solve for x
    x = 944,951.67/1,380.90
  6. Step 6: Final answer
    x = 684.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.