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Finding the Fourth Proportional to 1,310.02, 1,964.62 and 385.35

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Solution

The fourth proportional to 1,310.02, 1,964.62 and 385.35 is: 577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.02 : 1,964.62 = 385.35 : x
  2. Step 2: Convert to fraction form
    1,310.02/1,964.62 = 385.35/x
  3. Step 3: Cross multiply
    1,310.02x = 1,964.62 × 385.35
  4. Step 4: Simplify right side
    1,310.02x = 757,066.32
  5. Step 5: Solve for x
    x = 757,066.32/1,310.02
  6. Step 6: Final answer
    x = 577.90

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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.