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Finding the Fourth Proportional to 1,152.20, 1,590.04 and 628.23

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Solution

The fourth proportional to 1,152.20, 1,590.04 and 628.23 is: 866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.20 : 1,590.04 = 628.23 : x
  2. Step 2: Convert to fraction form
    1,152.20/1,590.04 = 628.23/x
  3. Step 3: Cross multiply
    1,152.20x = 1,590.04 × 628.23
  4. Step 4: Simplify right side
    1,152.20x = 998,910.83
  5. Step 5: Solve for x
    x = 998,910.83/1,152.20
  6. Step 6: Final answer
    x = 866.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.