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Finding the Fourth Proportional to 959.52, 1,323.86 and 586.56

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Solution

The fourth proportional to 959.52, 1,323.86 and 586.56 is: 809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.52 : 1,323.86 = 586.56 : x
  2. Step 2: Convert to fraction form
    959.52/1,323.86 = 586.56/x
  3. Step 3: Cross multiply
    959.52x = 1,323.86 × 586.56
  4. Step 4: Simplify right side
    959.52x = 776,520.39
  5. Step 5: Solve for x
    x = 776,520.39/959.52
  6. Step 6: Final answer
    x = 809.28

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1.5x scale

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.