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Finding the Fourth Proportional to 1,090.02, 1,635.16 and 512.76

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Solution

The fourth proportional to 1,090.02, 1,635.16 and 512.76 is: 769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.02 : 1,635.16 = 512.76 : x
  2. Step 2: Convert to fraction form
    1,090.02/1,635.16 = 512.76/x
  3. Step 3: Cross multiply
    1,090.02x = 1,635.16 × 512.76
  4. Step 4: Simplify right side
    1,090.02x = 838,444.64
  5. Step 5: Solve for x
    x = 838,444.64/1,090.02
  6. Step 6: Final answer
    x = 769.20

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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.