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Finding the Fourth Proportional to 1,006.57, 1,507.29 and 596.00

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Solution

The fourth proportional to 1,006.57, 1,507.29 and 596.00 is: 892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.57 : 1,507.29 = 596.00 : x
  2. Step 2: Convert to fraction form
    1,006.57/1,507.29 = 596.00/x
  3. Step 3: Cross multiply
    1,006.57x = 1,507.29 × 596.00
  4. Step 4: Simplify right side
    1,006.57x = 898,346.37
  5. Step 5: Solve for x
    x = 898,346.37/1,006.57
  6. Step 6: Final answer
    x = 892.48

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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.