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Finding the Fourth Proportional to 545.76, 812.64 and 543.36

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Solution

The fourth proportional to 545.76, 812.64 and 543.36 is: 809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 812.64 = 543.36 : x
  2. Step 2: Convert to fraction form
    545.76/812.64 = 543.36/x
  3. Step 3: Cross multiply
    545.76x = 812.64 × 543.36
  4. Step 4: Simplify right side
    545.76x = 441,556.07
  5. Step 5: Solve for x
    x = 441,556.07/545.76
  6. Step 6: Final answer
    x = 809.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.