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Finding the Fourth Proportional to 957.49, 1,436.18 and 470.38

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Solution

The fourth proportional to 957.49, 1,436.18 and 470.38 is: 705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.49 : 1,436.18 = 470.38 : x
  2. Step 2: Convert to fraction form
    957.49/1,436.18 = 470.38/x
  3. Step 3: Cross multiply
    957.49x = 1,436.18 × 470.38
  4. Step 4: Simplify right side
    957.49x = 675,550.35
  5. Step 5: Solve for x
    x = 675,550.35/957.49
  6. Step 6: Final answer
    x = 705.54

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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.