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Finding the Fourth Proportional to 957.83, 1,322.14 and 604.00

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Solution

The fourth proportional to 957.83, 1,322.14 and 604.00 is: 833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.83 : 1,322.14 = 604.00 : x
  2. Step 2: Convert to fraction form
    957.83/1,322.14 = 604.00/x
  3. Step 3: Cross multiply
    957.83x = 1,322.14 × 604.00
  4. Step 4: Simplify right side
    957.83x = 798,565.95
  5. Step 5: Solve for x
    x = 798,565.95/957.83
  6. Step 6: Final answer
    x = 833.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.