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Finding the Fourth Proportional to 1,318.05, 1,977.93 and 588.24

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Solution

The fourth proportional to 1,318.05, 1,977.93 and 588.24 is: 882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.05 : 1,977.93 = 588.24 : x
  2. Step 2: Convert to fraction form
    1,318.05/1,977.93 = 588.24/x
  3. Step 3: Cross multiply
    1,318.05x = 1,977.93 × 588.24
  4. Step 4: Simplify right side
    1,318.05x = 1,163,497.54
  5. Step 5: Solve for x
    x = 1,163,497.54/1,318.05
  6. Step 6: Final answer
    x = 882.74

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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.