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Finding the Fourth Proportional to 1,090.47, 1,635.84 and 474.03

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Solution

The fourth proportional to 1,090.47, 1,635.84 and 474.03 is: 711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.47 : 1,635.84 = 474.03 : x
  2. Step 2: Convert to fraction form
    1,090.47/1,635.84 = 474.03/x
  3. Step 3: Cross multiply
    1,090.47x = 1,635.84 × 474.03
  4. Step 4: Simplify right side
    1,090.47x = 775,437.24
  5. Step 5: Solve for x
    x = 775,437.24/1,090.47
  6. Step 6: Final answer
    x = 711.10

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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.