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Finding the Fourth Proportional to 1,203.69, 1,803.60 and 509.79

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Solution

The fourth proportional to 1,203.69, 1,803.60 and 509.79 is: 763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.69 : 1,803.60 = 509.79 : x
  2. Step 2: Convert to fraction form
    1,203.69/1,803.60 = 509.79/x
  3. Step 3: Cross multiply
    1,203.69x = 1,803.60 × 509.79
  4. Step 4: Simplify right side
    1,203.69x = 919,457.24
  5. Step 5: Solve for x
    x = 919,457.24/1,203.69
  6. Step 6: Final answer
    x = 763.87

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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.