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Finding the Fourth Proportional to 1,057.06, 1,585.80 and 407.80

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Solution

The fourth proportional to 1,057.06, 1,585.80 and 407.80 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.06 : 1,585.80 = 407.80 : x
  2. Step 2: Convert to fraction form
    1,057.06/1,585.80 = 407.80/x
  3. Step 3: Cross multiply
    1,057.06x = 1,585.80 × 407.80
  4. Step 4: Simplify right side
    1,057.06x = 646,689.24
  5. Step 5: Solve for x
    x = 646,689.24/1,057.06
  6. Step 6: Final answer
    x = 611.78

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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.