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Finding the Fourth Proportional to 732.50, 1,097.11 and 407.14

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Solution

The fourth proportional to 732.50, 1,097.11 and 407.14 is: 609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.50 : 1,097.11 = 407.14 : x
  2. Step 2: Convert to fraction form
    732.50/1,097.11 = 407.14/x
  3. Step 3: Cross multiply
    732.50x = 1,097.11 × 407.14
  4. Step 4: Simplify right side
    732.50x = 446,677.37
  5. Step 5: Solve for x
    x = 446,677.37/732.50
  6. Step 6: Final answer
    x = 609.80

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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.