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Finding the Fourth Proportional to 1,023.21, 1,532.88 and 535.14

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Solution

The fourth proportional to 1,023.21, 1,532.88 and 535.14 is: 801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.21 : 1,532.88 = 535.14 : x
  2. Step 2: Convert to fraction form
    1,023.21/1,532.88 = 535.14/x
  3. Step 3: Cross multiply
    1,023.21x = 1,532.88 × 535.14
  4. Step 4: Simplify right side
    1,023.21x = 820,305.40
  5. Step 5: Solve for x
    x = 820,305.40/1,023.21
  6. Step 6: Final answer
    x = 801.70

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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.