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Finding the Fourth Proportional to 1,057.71, 1,586.57 and 364.40

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Solution

The fourth proportional to 1,057.71, 1,586.57 and 364.40 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.71 : 1,586.57 = 364.40 : x
  2. Step 2: Convert to fraction form
    1,057.71/1,586.57 = 364.40/x
  3. Step 3: Cross multiply
    1,057.71x = 1,586.57 × 364.40
  4. Step 4: Simplify right side
    1,057.71x = 578,136.35
  5. Step 5: Solve for x
    x = 578,136.35/1,057.71
  6. Step 6: Final answer
    x = 546.59

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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.