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Finding the Fourth Proportional to 776.35, 1,162.45 and 653.33

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Solution

The fourth proportional to 776.35, 1,162.45 and 653.33 is: 978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.35 : 1,162.45 = 653.33 : x
  2. Step 2: Convert to fraction form
    776.35/1,162.45 = 653.33/x
  3. Step 3: Cross multiply
    776.35x = 1,162.45 × 653.33
  4. Step 4: Simplify right side
    776.35x = 759,454.38
  5. Step 5: Solve for x
    x = 759,454.38/776.35
  6. Step 6: Final answer
    x = 978.24

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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.