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Finding the Fourth Proportional to 956.76, 1,435.32 and 408.93

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Solution

The fourth proportional to 956.76, 1,435.32 and 408.93 is: 613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.76 : 1,435.32 = 408.93 : x
  2. Step 2: Convert to fraction form
    956.76/1,435.32 = 408.93/x
  3. Step 3: Cross multiply
    956.76x = 1,435.32 × 408.93
  4. Step 4: Simplify right side
    956.76x = 586,945.41
  5. Step 5: Solve for x
    x = 586,945.41/956.76
  6. Step 6: Final answer
    x = 613.47

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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.