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Finding the Fourth Proportional to 904.04, 1,359.10 and 723.42

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Solution

The fourth proportional to 904.04, 1,359.10 and 723.42 is: 1,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.04 : 1,359.10 = 723.42 : x
  2. Step 2: Convert to fraction form
    904.04/1,359.10 = 723.42/x
  3. Step 3: Cross multiply
    904.04x = 1,359.10 × 723.42
  4. Step 4: Simplify right side
    904.04x = 983,200.12
  5. Step 5: Solve for x
    x = 983,200.12/904.04
  6. Step 6: Final answer
    x = 1,087.56

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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.