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Finding the Fourth Proportional to 957.64, 1,432.78 and 697.72

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Solution

The fourth proportional to 957.64, 1,432.78 and 697.72 is: 1,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.64 : 1,432.78 = 697.72 : x
  2. Step 2: Convert to fraction form
    957.64/1,432.78 = 697.72/x
  3. Step 3: Cross multiply
    957.64x = 1,432.78 × 697.72
  4. Step 4: Simplify right side
    957.64x = 999,673.94
  5. Step 5: Solve for x
    x = 999,673.94/957.64
  6. Step 6: Final answer
    x = 1,043.90

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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.