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Finding the Fourth Proportional to 545.63, 753.23 and 513.23

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Solution

The fourth proportional to 545.63, 753.23 and 513.23 is: 708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.63 : 753.23 = 513.23 : x
  2. Step 2: Convert to fraction form
    545.63/753.23 = 513.23/x
  3. Step 3: Cross multiply
    545.63x = 753.23 × 513.23
  4. Step 4: Simplify right side
    545.63x = 386,577.75
  5. Step 5: Solve for x
    x = 386,577.75/545.63
  6. Step 6: Final answer
    x = 708.50

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Why These Related Problems?

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