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Finding the Fourth Proportional to 959.57, 1,322.98 and 735.76

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Solution

The fourth proportional to 959.57, 1,322.98 and 735.76 is: 1,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.57 : 1,322.98 = 735.76 : x
  2. Step 2: Convert to fraction form
    959.57/1,322.98 = 735.76/x
  3. Step 3: Cross multiply
    959.57x = 1,322.98 × 735.76
  4. Step 4: Simplify right side
    959.57x = 973,395.76
  5. Step 5: Solve for x
    x = 973,395.76/959.57
  6. Step 6: Final answer
    x = 1,014.41

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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.