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Finding the Fourth Proportional to 653.78, 978.84 and 479.90

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Solution

The fourth proportional to 653.78, 978.84 and 479.90 is: 718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 978.84 = 479.90 : x
  2. Step 2: Convert to fraction form
    653.78/978.84 = 479.90/x
  3. Step 3: Cross multiply
    653.78x = 978.84 × 479.90
  4. Step 4: Simplify right side
    653.78x = 469,745.32
  5. Step 5: Solve for x
    x = 469,745.32/653.78
  6. Step 6: Final answer
    x = 718.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.