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Finding the Fourth Proportional to 965.86, 1,332.70 and 592.90

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Solution

The fourth proportional to 965.86, 1,332.70 and 592.90 is: 818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.86 : 1,332.70 = 592.90 : x
  2. Step 2: Convert to fraction form
    965.86/1,332.70 = 592.90/x
  3. Step 3: Cross multiply
    965.86x = 1,332.70 × 592.90
  4. Step 4: Simplify right side
    965.86x = 790,157.83
  5. Step 5: Solve for x
    x = 790,157.83/965.86
  6. Step 6: Final answer
    x = 818.09

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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.