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Finding the Fourth Proportional to 1,483.56, 2,223.98 and 509.44

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Solution

The fourth proportional to 1,483.56, 2,223.98 and 509.44 is: 763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.56 : 2,223.98 = 509.44 : x
  2. Step 2: Convert to fraction form
    1,483.56/2,223.98 = 509.44/x
  3. Step 3: Cross multiply
    1,483.56x = 2,223.98 × 509.44
  4. Step 4: Simplify right side
    1,483.56x = 1,132,984.37
  5. Step 5: Solve for x
    x = 1,132,984.37/1,483.56
  6. Step 6: Final answer
    x = 763.69

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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.