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Finding the Fourth Proportional to 1,152.75, 1,590.80 and 628.79

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Solution

The fourth proportional to 1,152.75, 1,590.80 and 628.79 is: 867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.75 : 1,590.80 = 628.79 : x
  2. Step 2: Convert to fraction form
    1,152.75/1,590.80 = 628.79/x
  3. Step 3: Cross multiply
    1,152.75x = 1,590.80 × 628.79
  4. Step 4: Simplify right side
    1,152.75x = 1,000,279.97
  5. Step 5: Solve for x
    x = 1,000,279.97/1,152.75
  6. Step 6: Final answer
    x = 867.73

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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.