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Finding the Fourth Proportional to 957.81, 1,437.06 and 471.21

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Solution

The fourth proportional to 957.81, 1,437.06 and 471.21 is: 706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.81 : 1,437.06 = 471.21 : x
  2. Step 2: Convert to fraction form
    957.81/1,437.06 = 471.21/x
  3. Step 3: Cross multiply
    957.81x = 1,437.06 × 471.21
  4. Step 4: Simplify right side
    957.81x = 677,157.04
  5. Step 5: Solve for x
    x = 677,157.04/957.81
  6. Step 6: Final answer
    x = 706.98

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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.