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Finding the Fourth Proportional to 709.43, 977.43 and 541.07

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Solution

The fourth proportional to 709.43, 977.43 and 541.07 is: 745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.43 : 977.43 = 541.07 : x
  2. Step 2: Convert to fraction form
    709.43/977.43 = 541.07/x
  3. Step 3: Cross multiply
    709.43x = 977.43 × 541.07
  4. Step 4: Simplify right side
    709.43x = 528,853.16
  5. Step 5: Solve for x
    x = 528,853.16/709.43
  6. Step 6: Final answer
    x = 745.47

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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.