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Finding the Fourth Proportional to 707.86, 977.01 and 540.25

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Solution

The fourth proportional to 707.86, 977.01 and 540.25 is: 745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.86 : 977.01 = 540.25 : x
  2. Step 2: Convert to fraction form
    707.86/977.01 = 540.25/x
  3. Step 3: Cross multiply
    707.86x = 977.01 × 540.25
  4. Step 4: Simplify right side
    707.86x = 527,826.95
  5. Step 5: Solve for x
    x = 527,826.95/707.86
  6. Step 6: Final answer
    x = 745.67

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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.