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Finding the Fourth Proportional to 1,152.38, 1,590.28 and 628.41

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Solution

The fourth proportional to 1,152.38, 1,590.28 and 628.41 is: 867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.38 : 1,590.28 = 628.41 : x
  2. Step 2: Convert to fraction form
    1,152.38/1,590.28 = 628.41/x
  3. Step 3: Cross multiply
    1,152.38x = 1,590.28 × 628.41
  4. Step 4: Simplify right side
    1,152.38x = 999,346.28
  5. Step 5: Solve for x
    x = 999,346.28/1,152.38
  6. Step 6: Final answer
    x = 867.21

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Why These Related Problems?

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