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Finding the Fourth Proportional to 1,281.32, 1,920.72 and 459.44

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Solution

The fourth proportional to 1,281.32, 1,920.72 and 459.44 is: 688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.32 : 1,920.72 = 459.44 : x
  2. Step 2: Convert to fraction form
    1,281.32/1,920.72 = 459.44/x
  3. Step 3: Cross multiply
    1,281.32x = 1,920.72 × 459.44
  4. Step 4: Simplify right side
    1,281.32x = 882,455.60
  5. Step 5: Solve for x
    x = 882,455.60/1,281.32
  6. Step 6: Final answer
    x = 688.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.