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Finding the Fourth Proportional to 1,305.59, 1,953.57 and 785.91

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Solution

The fourth proportional to 1,305.59, 1,953.57 and 785.91 is: 1,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.59 : 1,953.57 = 785.91 : x
  2. Step 2: Convert to fraction form
    1,305.59/1,953.57 = 785.91/x
  3. Step 3: Cross multiply
    1,305.59x = 1,953.57 × 785.91
  4. Step 4: Simplify right side
    1,305.59x = 1,535,330.20
  5. Step 5: Solve for x
    x = 1,535,330.20/1,305.59
  6. Step 6: Final answer
    x = 1,175.97

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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.