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Finding the Fourth Proportional to 817.10, 1,224.02 and 730.02

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Solution

The fourth proportional to 817.10, 1,224.02 and 730.02 is: 1,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.10 : 1,224.02 = 730.02 : x
  2. Step 2: Convert to fraction form
    817.10/1,224.02 = 730.02/x
  3. Step 3: Cross multiply
    817.10x = 1,224.02 × 730.02
  4. Step 4: Simplify right side
    817.10x = 893,565.50
  5. Step 5: Solve for x
    x = 893,565.50/817.10
  6. Step 6: Final answer
    x = 1,093.58

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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.