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Finding the Fourth Proportional to 1,057.58, 1,585.51 and 441.74

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Solution

The fourth proportional to 1,057.58, 1,585.51 and 441.74 is: 662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.58 : 1,585.51 = 441.74 : x
  2. Step 2: Convert to fraction form
    1,057.58/1,585.51 = 441.74/x
  3. Step 3: Cross multiply
    1,057.58x = 1,585.51 × 441.74
  4. Step 4: Simplify right side
    1,057.58x = 700,383.19
  5. Step 5: Solve for x
    x = 700,383.19/1,057.58
  6. Step 6: Final answer
    x = 662.25

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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.