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Finding the Fourth Proportional to 1,340.08, 2,008.80 and 473.92

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Solution

The fourth proportional to 1,340.08, 2,008.80 and 473.92 is: 710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.08 : 2,008.80 = 473.92 : x
  2. Step 2: Convert to fraction form
    1,340.08/2,008.80 = 473.92/x
  3. Step 3: Cross multiply
    1,340.08x = 2,008.80 × 473.92
  4. Step 4: Simplify right side
    1,340.08x = 952,010.50
  5. Step 5: Solve for x
    x = 952,010.50/1,340.08
  6. Step 6: Final answer
    x = 710.41

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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.