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Finding the Fourth Proportional to 965.04, 1,332.14 and 650.49

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Solution

The fourth proportional to 965.04, 1,332.14 and 650.49 is: 897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.04 : 1,332.14 = 650.49 : x
  2. Step 2: Convert to fraction form
    965.04/1,332.14 = 650.49/x
  3. Step 3: Cross multiply
    965.04x = 1,332.14 × 650.49
  4. Step 4: Simplify right side
    965.04x = 866,543.75
  5. Step 5: Solve for x
    x = 866,543.75/965.04
  6. Step 6: Final answer
    x = 897.94

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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.