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Finding the Fourth Proportional to 954.69, 1,432.82 and 407.49

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Solution

The fourth proportional to 954.69, 1,432.82 and 407.49 is: 611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.69 : 1,432.82 = 407.49 : x
  2. Step 2: Convert to fraction form
    954.69/1,432.82 = 407.49/x
  3. Step 3: Cross multiply
    954.69x = 1,432.82 × 407.49
  4. Step 4: Simplify right side
    954.69x = 583,859.82
  5. Step 5: Solve for x
    x = 583,859.82/954.69
  6. Step 6: Final answer
    x = 611.57

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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.