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Finding the Fourth Proportional to 1,006.64, 1,509.89 and 276.16

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Solution

The fourth proportional to 1,006.64, 1,509.89 and 276.16 is: 414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.64 : 1,509.89 = 276.16 : x
  2. Step 2: Convert to fraction form
    1,006.64/1,509.89 = 276.16/x
  3. Step 3: Cross multiply
    1,006.64x = 1,509.89 × 276.16
  4. Step 4: Simplify right side
    1,006.64x = 416,966.77
  5. Step 5: Solve for x
    x = 416,966.77/1,006.64
  6. Step 6: Final answer
    x = 414.22

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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.