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Finding the Fourth Proportional to 1,544.83, 2,317.56 and 504.93

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Solution

The fourth proportional to 1,544.83, 2,317.56 and 504.93 is: 757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.83 : 2,317.56 = 504.93 : x
  2. Step 2: Convert to fraction form
    1,544.83/2,317.56 = 504.93/x
  3. Step 3: Cross multiply
    1,544.83x = 2,317.56 × 504.93
  4. Step 4: Simplify right side
    1,544.83x = 1,170,205.57
  5. Step 5: Solve for x
    x = 1,170,205.57/1,544.83
  6. Step 6: Final answer
    x = 757.50

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1.5x scale

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.