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Finding the Fourth Proportional to 956.84, 1,435.50 and 470.12

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Solution

The fourth proportional to 956.84, 1,435.50 and 470.12 is: 705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.84 : 1,435.50 = 470.12 : x
  2. Step 2: Convert to fraction form
    956.84/1,435.50 = 470.12/x
  3. Step 3: Cross multiply
    956.84x = 1,435.50 × 470.12
  4. Step 4: Simplify right side
    956.84x = 674,857.26
  5. Step 5: Solve for x
    x = 674,857.26/956.84
  6. Step 6: Final answer
    x = 705.30

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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.