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Finding the Fourth Proportional to 1,057.19, 1,585.98 and 407.57

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Solution

The fourth proportional to 1,057.19, 1,585.98 and 407.57 is: 611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.19 : 1,585.98 = 407.57 : x
  2. Step 2: Convert to fraction form
    1,057.19/1,585.98 = 407.57/x
  3. Step 3: Cross multiply
    1,057.19x = 1,585.98 × 407.57
  4. Step 4: Simplify right side
    1,057.19x = 646,389.94
  5. Step 5: Solve for x
    x = 646,389.94/1,057.19
  6. Step 6: Final answer
    x = 611.43

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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.