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Finding the Fourth Proportional to 956.62, 1,435.83 and 470.02

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Solution

The fourth proportional to 956.62, 1,435.83 and 470.02 is: 705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.62 : 1,435.83 = 470.02 : x
  2. Step 2: Convert to fraction form
    956.62/1,435.83 = 470.02/x
  3. Step 3: Cross multiply
    956.62x = 1,435.83 × 470.02
  4. Step 4: Simplify right side
    956.62x = 674,859.29
  5. Step 5: Solve for x
    x = 674,859.29/956.62
  6. Step 6: Final answer
    x = 705.47

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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.