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Finding the Fourth Proportional to 610.02, 840.78 and 517.02

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Solution

The fourth proportional to 610.02, 840.78 and 517.02 is: 712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.02 : 840.78 = 517.02 : x
  2. Step 2: Convert to fraction form
    610.02/840.78 = 517.02/x
  3. Step 3: Cross multiply
    610.02x = 840.78 × 517.02
  4. Step 4: Simplify right side
    610.02x = 434,700.08
  5. Step 5: Solve for x
    x = 434,700.08/610.02
  6. Step 6: Final answer
    x = 712.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.