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Finding the Fourth Proportional to 1,287.69, 1,931.05 and 465.76

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Solution

The fourth proportional to 1,287.69, 1,931.05 and 465.76 is: 698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.69 : 1,931.05 = 465.76 : x
  2. Step 2: Convert to fraction form
    1,287.69/1,931.05 = 465.76/x
  3. Step 3: Cross multiply
    1,287.69x = 1,931.05 × 465.76
  4. Step 4: Simplify right side
    1,287.69x = 899,405.85
  5. Step 5: Solve for x
    x = 899,405.85/1,287.69
  6. Step 6: Final answer
    x = 698.46

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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.