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Finding the Fourth Proportional to 1,509.42, 2,265.21 and 535.50

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Solution

The fourth proportional to 1,509.42, 2,265.21 and 535.50 is: 803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.42 : 2,265.21 = 535.50 : x
  2. Step 2: Convert to fraction form
    1,509.42/2,265.21 = 535.50/x
  3. Step 3: Cross multiply
    1,509.42x = 2,265.21 × 535.50
  4. Step 4: Simplify right side
    1,509.42x = 1,213,019.96
  5. Step 5: Solve for x
    x = 1,213,019.96/1,509.42
  6. Step 6: Final answer
    x = 803.63

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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.