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Finding the Fourth Proportional to 706.17, 973.85 and 540.39

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Solution

The fourth proportional to 706.17, 973.85 and 540.39 is: 745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.17 : 973.85 = 540.39 : x
  2. Step 2: Convert to fraction form
    706.17/973.85 = 540.39/x
  3. Step 3: Cross multiply
    706.17x = 973.85 × 540.39
  4. Step 4: Simplify right side
    706.17x = 526,256.10
  5. Step 5: Solve for x
    x = 526,256.10/706.17
  6. Step 6: Final answer
    x = 745.23

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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.