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Finding the Fourth Proportional to 1,135.47, 1,703.22 and 405.09

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Solution

The fourth proportional to 1,135.47, 1,703.22 and 405.09 is: 607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.47 : 1,703.22 = 405.09 : x
  2. Step 2: Convert to fraction form
    1,135.47/1,703.22 = 405.09/x
  3. Step 3: Cross multiply
    1,135.47x = 1,703.22 × 405.09
  4. Step 4: Simplify right side
    1,135.47x = 689,957.39
  5. Step 5: Solve for x
    x = 689,957.39/1,135.47
  6. Step 6: Final answer
    x = 607.64

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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.