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Finding the Fourth Proportional to 1,090.71, 1,636.14 and 310.77

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Solution

The fourth proportional to 1,090.71, 1,636.14 and 310.77 is: 466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.71 : 1,636.14 = 310.77 : x
  2. Step 2: Convert to fraction form
    1,090.71/1,636.14 = 310.77/x
  3. Step 3: Cross multiply
    1,090.71x = 1,636.14 × 310.77
  4. Step 4: Simplify right side
    1,090.71x = 508,463.23
  5. Step 5: Solve for x
    x = 508,463.23/1,090.71
  6. Step 6: Final answer
    x = 466.18

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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.