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Finding the Fourth Proportional to 1,152.69, 1,590.72 and 628.73

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Solution

The fourth proportional to 1,152.69, 1,590.72 and 628.73 is: 867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.69 : 1,590.72 = 628.73 : x
  2. Step 2: Convert to fraction form
    1,152.69/1,590.72 = 628.73/x
  3. Step 3: Cross multiply
    1,152.69x = 1,590.72 × 628.73
  4. Step 4: Simplify right side
    1,152.69x = 1,000,133.39
  5. Step 5: Solve for x
    x = 1,000,133.39/1,152.69
  6. Step 6: Final answer
    x = 867.65

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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.