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Finding the Fourth Proportional to 1,807.55, 2,710.92 and 509.12

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Solution

The fourth proportional to 1,807.55, 2,710.92 and 509.12 is: 763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.55 : 2,710.92 = 509.12 : x
  2. Step 2: Convert to fraction form
    1,807.55/2,710.92 = 509.12/x
  3. Step 3: Cross multiply
    1,807.55x = 2,710.92 × 509.12
  4. Step 4: Simplify right side
    1,807.55x = 1,380,179.25
  5. Step 5: Solve for x
    x = 1,380,179.25/1,807.55
  6. Step 6: Final answer
    x = 763.56

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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.