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Finding the Fourth Proportional to 1,478.48, 2,216.12 and 504.08

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Solution

The fourth proportional to 1,478.48, 2,216.12 and 504.08 is: 755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.48 : 2,216.12 = 504.08 : x
  2. Step 2: Convert to fraction form
    1,478.48/2,216.12 = 504.08/x
  3. Step 3: Cross multiply
    1,478.48x = 2,216.12 × 504.08
  4. Step 4: Simplify right side
    1,478.48x = 1,117,101.77
  5. Step 5: Solve for x
    x = 1,117,101.77/1,478.48
  6. Step 6: Final answer
    x = 755.57

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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.