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Finding the Fourth Proportional to 825.55, 1,138.93 and 545.93

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Solution

The fourth proportional to 825.55, 1,138.93 and 545.93 is: 753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.55 : 1,138.93 = 545.93 : x
  2. Step 2: Convert to fraction form
    825.55/1,138.93 = 545.93/x
  3. Step 3: Cross multiply
    825.55x = 1,138.93 × 545.93
  4. Step 4: Simplify right side
    825.55x = 621,776.05
  5. Step 5: Solve for x
    x = 621,776.05/825.55
  6. Step 6: Final answer
    x = 753.17

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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.