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Finding the Fourth Proportional to 946.20, 1,305.73 and 532.20

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Solution

The fourth proportional to 946.20, 1,305.73 and 532.20 is: 734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.20 : 1,305.73 = 532.20 : x
  2. Step 2: Convert to fraction form
    946.20/1,305.73 = 532.20/x
  3. Step 3: Cross multiply
    946.20x = 1,305.73 × 532.20
  4. Step 4: Simplify right side
    946.20x = 694,909.51
  5. Step 5: Solve for x
    x = 694,909.51/946.20
  6. Step 6: Final answer
    x = 734.42

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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.