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Finding the Fourth Proportional to 1,475.93, 2,215.26 and 746.02

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Solution

The fourth proportional to 1,475.93, 2,215.26 and 746.02 is: 1,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.93 : 2,215.26 = 746.02 : x
  2. Step 2: Convert to fraction form
    1,475.93/2,215.26 = 746.02/x
  3. Step 3: Cross multiply
    1,475.93x = 2,215.26 × 746.02
  4. Step 4: Simplify right side
    1,475.93x = 1,652,628.27
  5. Step 5: Solve for x
    x = 1,652,628.27/1,475.93
  6. Step 6: Final answer
    x = 1,119.72

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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.