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Finding the Fourth Proportional to 957.04, 1,434.96 and 436.80

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Solution

The fourth proportional to 957.04, 1,434.96 and 436.80 is: 654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.04 : 1,434.96 = 436.80 : x
  2. Step 2: Convert to fraction form
    957.04/1,434.96 = 436.80/x
  3. Step 3: Cross multiply
    957.04x = 1,434.96 × 436.80
  4. Step 4: Simplify right side
    957.04x = 626,790.53
  5. Step 5: Solve for x
    x = 626,790.53/957.04
  6. Step 6: Final answer
    x = 654.93

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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.