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Finding the Fourth Proportional to 957.32, 1,436.50 and 470.41

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Solution

The fourth proportional to 957.32, 1,436.50 and 470.41 is: 705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.32 : 1,436.50 = 470.41 : x
  2. Step 2: Convert to fraction form
    957.32/1,436.50 = 470.41/x
  3. Step 3: Cross multiply
    957.32x = 1,436.50 × 470.41
  4. Step 4: Simplify right side
    957.32x = 675,740.96
  5. Step 5: Solve for x
    x = 675,740.96/957.32
  6. Step 6: Final answer
    x = 705.87

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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.