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Finding the Fourth Proportional to 957.52, 1,433.90 and 784.62

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Solution

The fourth proportional to 957.52, 1,433.90 and 784.62 is: 1,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.52 : 1,433.90 = 784.62 : x
  2. Step 2: Convert to fraction form
    957.52/1,433.90 = 784.62/x
  3. Step 3: Cross multiply
    957.52x = 1,433.90 × 784.62
  4. Step 4: Simplify right side
    957.52x = 1,125,068.58
  5. Step 5: Solve for x
    x = 1,125,068.58/957.52
  6. Step 6: Final answer
    x = 1,174.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.