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Finding the Fourth Proportional to 1,483.78, 2,225.36 and 559.32

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Solution

The fourth proportional to 1,483.78, 2,225.36 and 559.32 is: 838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.78 : 2,225.36 = 559.32 : x
  2. Step 2: Convert to fraction form
    1,483.78/2,225.36 = 559.32/x
  3. Step 3: Cross multiply
    1,483.78x = 2,225.36 × 559.32
  4. Step 4: Simplify right side
    1,483.78x = 1,244,688.36
  5. Step 5: Solve for x
    x = 1,244,688.36/1,483.78
  6. Step 6: Final answer
    x = 838.86

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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.