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Finding the Fourth Proportional to 959.50, 1,323.57 and 586.66

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Solution

The fourth proportional to 959.50, 1,323.57 and 586.66 is: 809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.50 : 1,323.57 = 586.66 : x
  2. Step 2: Convert to fraction form
    959.50/1,323.57 = 586.66/x
  3. Step 3: Cross multiply
    959.50x = 1,323.57 × 586.66
  4. Step 4: Simplify right side
    959.50x = 776,485.58
  5. Step 5: Solve for x
    x = 776,485.58/959.50
  6. Step 6: Final answer
    x = 809.26

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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.