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Finding the Fourth Proportional to 1,173.63, 1,758.96 and 588.87

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Solution

The fourth proportional to 1,173.63, 1,758.96 and 588.87 is: 882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.63 : 1,758.96 = 588.87 : x
  2. Step 2: Convert to fraction form
    1,173.63/1,758.96 = 588.87/x
  3. Step 3: Cross multiply
    1,173.63x = 1,758.96 × 588.87
  4. Step 4: Simplify right side
    1,173.63x = 1,035,798.78
  5. Step 5: Solve for x
    x = 1,035,798.78/1,173.63
  6. Step 6: Final answer
    x = 882.56

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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.