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Finding the Fourth Proportional to 1,380.52, 2,070.86 and 406.64

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Solution

The fourth proportional to 1,380.52, 2,070.86 and 406.64 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.52 : 2,070.86 = 406.64 : x
  2. Step 2: Convert to fraction form
    1,380.52/2,070.86 = 406.64/x
  3. Step 3: Cross multiply
    1,380.52x = 2,070.86 × 406.64
  4. Step 4: Simplify right side
    1,380.52x = 842,094.51
  5. Step 5: Solve for x
    x = 842,094.51/1,380.52
  6. Step 6: Final answer
    x = 609.98

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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.