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Finding the Fourth Proportional to 1,205.46, 1,807.20 and 588.51

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Solution

The fourth proportional to 1,205.46, 1,807.20 and 588.51 is: 882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.46 : 1,807.20 = 588.51 : x
  2. Step 2: Convert to fraction form
    1,205.46/1,807.20 = 588.51/x
  3. Step 3: Cross multiply
    1,205.46x = 1,807.20 × 588.51
  4. Step 4: Simplify right side
    1,205.46x = 1,063,555.27
  5. Step 5: Solve for x
    x = 1,063,555.27/1,205.46
  6. Step 6: Final answer
    x = 882.28

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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.