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Finding the Fourth Proportional to 1,483.90, 2,225.75 and 509.98

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Solution

The fourth proportional to 1,483.90, 2,225.75 and 509.98 is: 764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.90 : 2,225.75 = 509.98 : x
  2. Step 2: Convert to fraction form
    1,483.90/2,225.75 = 509.98/x
  3. Step 3: Cross multiply
    1,483.90x = 2,225.75 × 509.98
  4. Step 4: Simplify right side
    1,483.90x = 1,135,085.44
  5. Step 5: Solve for x
    x = 1,135,085.44/1,483.90
  6. Step 6: Final answer
    x = 764.93

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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.