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Finding the Fourth Proportional to 610.98, 920.03 and 534.84

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Solution

The fourth proportional to 610.98, 920.03 and 534.84 is: 805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.98 : 920.03 = 534.84 : x
  2. Step 2: Convert to fraction form
    610.98/920.03 = 534.84/x
  3. Step 3: Cross multiply
    610.98x = 920.03 × 534.84
  4. Step 4: Simplify right side
    610.98x = 492,068.85
  5. Step 5: Solve for x
    x = 492,068.85/610.98
  6. Step 6: Final answer
    x = 805.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.