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Finding the Fourth Proportional to 1,785.72, 2,678.16 and 553.14

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Solution

The fourth proportional to 1,785.72, 2,678.16 and 553.14 is: 829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.72 : 2,678.16 = 553.14 : x
  2. Step 2: Convert to fraction form
    1,785.72/2,678.16 = 553.14/x
  3. Step 3: Cross multiply
    1,785.72x = 2,678.16 × 553.14
  4. Step 4: Simplify right side
    1,785.72x = 1,481,397.42
  5. Step 5: Solve for x
    x = 1,481,397.42/1,785.72
  6. Step 6: Final answer
    x = 829.58

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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.