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Finding the Fourth Proportional to 1,006.42, 1,509.63 and 276.00

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Solution

The fourth proportional to 1,006.42, 1,509.63 and 276.00 is: 414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.42 : 1,509.63 = 276.00 : x
  2. Step 2: Convert to fraction form
    1,006.42/1,509.63 = 276.00/x
  3. Step 3: Cross multiply
    1,006.42x = 1,509.63 × 276.00
  4. Step 4: Simplify right side
    1,006.42x = 416,654.80
  5. Step 5: Solve for x
    x = 416,654.80/1,006.42
  6. Step 6: Final answer
    x = 414.00

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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.