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Finding the Fourth Proportional to 1,477.46, 2,216.32 and 746.58

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Solution

The fourth proportional to 1,477.46, 2,216.32 and 746.58 is: 1,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.46 : 2,216.32 = 746.58 : x
  2. Step 2: Convert to fraction form
    1,477.46/2,216.32 = 746.58/x
  3. Step 3: Cross multiply
    1,477.46x = 2,216.32 × 746.58
  4. Step 4: Simplify right side
    1,477.46x = 1,654,660.19
  5. Step 5: Solve for x
    x = 1,654,660.19/1,477.46
  6. Step 6: Final answer
    x = 1,119.94

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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.