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Finding the Fourth Proportional to 1,357.86, 2,037.18 and 480.59

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Solution

The fourth proportional to 1,357.86, 2,037.18 and 480.59 is: 721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.86 : 2,037.18 = 480.59 : x
  2. Step 2: Convert to fraction form
    1,357.86/2,037.18 = 480.59/x
  3. Step 3: Cross multiply
    1,357.86x = 2,037.18 × 480.59
  4. Step 4: Simplify right side
    1,357.86x = 979,047.59
  5. Step 5: Solve for x
    x = 979,047.59/1,357.86
  6. Step 6: Final answer
    x = 721.02

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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.