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Finding the Fourth Proportional to 1,478.41, 2,214.87 and 553.39

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Solution

The fourth proportional to 1,478.41, 2,214.87 and 553.39 is: 829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.41 : 2,214.87 = 553.39 : x
  2. Step 2: Convert to fraction form
    1,478.41/2,214.87 = 553.39/x
  3. Step 3: Cross multiply
    1,478.41x = 2,214.87 × 553.39
  4. Step 4: Simplify right side
    1,478.41x = 1,225,686.91
  5. Step 5: Solve for x
    x = 1,225,686.91/1,478.41
  6. Step 6: Final answer
    x = 829.06

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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.