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Finding the Fourth Proportional to 969.90, 1,455.48 and 532.02

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Solution

The fourth proportional to 969.90, 1,455.48 and 532.02 is: 798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.90 : 1,455.48 = 532.02 : x
  2. Step 2: Convert to fraction form
    969.90/1,455.48 = 532.02/x
  3. Step 3: Cross multiply
    969.90x = 1,455.48 × 532.02
  4. Step 4: Simplify right side
    969.90x = 774,344.47
  5. Step 5: Solve for x
    x = 774,344.47/969.90
  6. Step 6: Final answer
    x = 798.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.