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Finding the Fourth Proportional to 1,057.29, 1,585.68 and 407.61

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Solution

The fourth proportional to 1,057.29, 1,585.68 and 407.61 is: 611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.29 : 1,585.68 = 407.61 : x
  2. Step 2: Convert to fraction form
    1,057.29/1,585.68 = 407.61/x
  3. Step 3: Cross multiply
    1,057.29x = 1,585.68 × 407.61
  4. Step 4: Simplify right side
    1,057.29x = 646,339.02
  5. Step 5: Solve for x
    x = 646,339.02/1,057.29
  6. Step 6: Final answer
    x = 611.32

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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.