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Finding the Fourth Proportional to 545.16, 821.85 and 509.93

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Solution

The fourth proportional to 545.16, 821.85 and 509.93 is: 768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.16 : 821.85 = 509.93 : x
  2. Step 2: Convert to fraction form
    545.16/821.85 = 509.93/x
  3. Step 3: Cross multiply
    545.16x = 821.85 × 509.93
  4. Step 4: Simplify right side
    545.16x = 419,087.33
  5. Step 5: Solve for x
    x = 419,087.33/545.16
  6. Step 6: Final answer
    x = 768.74

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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.