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Finding the Fourth Proportional to 959.51, 1,323.75 and 539.77

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Solution

The fourth proportional to 959.51, 1,323.75 and 539.77 is: 744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.51 : 1,323.75 = 539.77 : x
  2. Step 2: Convert to fraction form
    959.51/1,323.75 = 539.77/x
  3. Step 3: Cross multiply
    959.51x = 1,323.75 × 539.77
  4. Step 4: Simplify right side
    959.51x = 714,517.23
  5. Step 5: Solve for x
    x = 714,517.23/959.51
  6. Step 6: Final answer
    x = 744.67

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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.