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Finding the Fourth Proportional to 1,007.42, 1,509.15 and 822.54

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Solution

The fourth proportional to 1,007.42, 1,509.15 and 822.54 is: 1,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.42 : 1,509.15 = 822.54 : x
  2. Step 2: Convert to fraction form
    1,007.42/1,509.15 = 822.54/x
  3. Step 3: Cross multiply
    1,007.42x = 1,509.15 × 822.54
  4. Step 4: Simplify right side
    1,007.42x = 1,241,336.24
  5. Step 5: Solve for x
    x = 1,241,336.24/1,007.42
  6. Step 6: Final answer
    x = 1,232.20

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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.