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Finding the Fourth Proportional to 957.30, 1,435.08 and 494.04

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Solution

The fourth proportional to 957.30, 1,435.08 and 494.04 is: 740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.30 : 1,435.08 = 494.04 : x
  2. Step 2: Convert to fraction form
    957.30/1,435.08 = 494.04/x
  3. Step 3: Cross multiply
    957.30x = 1,435.08 × 494.04
  4. Step 4: Simplify right side
    957.30x = 708,986.92
  5. Step 5: Solve for x
    x = 708,986.92/957.30
  6. Step 6: Final answer
    x = 740.61

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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.