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Finding the Fourth Proportional to 732.36, 1,097.04 and 407.90

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Solution

The fourth proportional to 732.36, 1,097.04 and 407.90 is: 611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.36 : 1,097.04 = 407.90 : x
  2. Step 2: Convert to fraction form
    732.36/1,097.04 = 407.90/x
  3. Step 3: Cross multiply
    732.36x = 1,097.04 × 407.90
  4. Step 4: Simplify right side
    732.36x = 447,482.62
  5. Step 5: Solve for x
    x = 447,482.62/732.36
  6. Step 6: Final answer
    x = 611.01

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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.