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Finding the Fourth Proportional to 1,057.71, 1,586.58 and 364.41

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Solution

The fourth proportional to 1,057.71, 1,586.58 and 364.41 is: 546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.71 : 1,586.58 = 364.41 : x
  2. Step 2: Convert to fraction form
    1,057.71/1,586.58 = 364.41/x
  3. Step 3: Cross multiply
    1,057.71x = 1,586.58 × 364.41
  4. Step 4: Simplify right side
    1,057.71x = 578,165.62
  5. Step 5: Solve for x
    x = 578,165.62/1,057.71
  6. Step 6: Final answer
    x = 546.62

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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.