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Finding the Fourth Proportional to 1,057.34, 1,586.06 and 594.83

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Solution

The fourth proportional to 1,057.34, 1,586.06 and 594.83 is: 892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.34 : 1,586.06 = 594.83 : x
  2. Step 2: Convert to fraction form
    1,057.34/1,586.06 = 594.83/x
  3. Step 3: Cross multiply
    1,057.34x = 1,586.06 × 594.83
  4. Step 4: Simplify right side
    1,057.34x = 943,436.07
  5. Step 5: Solve for x
    x = 943,436.07/1,057.34
  6. Step 6: Final answer
    x = 892.27

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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.