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Finding the Fourth Proportional to 1,152.82, 1,590.88 and 628.84

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Solution

The fourth proportional to 1,152.82, 1,590.88 and 628.84 is: 867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.82 : 1,590.88 = 628.84 : x
  2. Step 2: Convert to fraction form
    1,152.82/1,590.88 = 628.84/x
  3. Step 3: Cross multiply
    1,152.82x = 1,590.88 × 628.84
  4. Step 4: Simplify right side
    1,152.82x = 1,000,408.98
  5. Step 5: Solve for x
    x = 1,000,408.98/1,152.82
  6. Step 6: Final answer
    x = 867.79

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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.