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Finding the Fourth Proportional to 815.10, 1,222.08 and 652.74

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Solution

The fourth proportional to 815.10, 1,222.08 and 652.74 is: 978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.10 : 1,222.08 = 652.74 : x
  2. Step 2: Convert to fraction form
    815.10/1,222.08 = 652.74/x
  3. Step 3: Cross multiply
    815.10x = 1,222.08 × 652.74
  4. Step 4: Simplify right side
    815.10x = 797,700.50
  5. Step 5: Solve for x
    x = 797,700.50/815.10
  6. Step 6: Final answer
    x = 978.65

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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.