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Finding the Fourth Proportional to 1,007.64, 1,511.19 and 277.16

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Solution

The fourth proportional to 1,007.64, 1,511.19 and 277.16 is: 415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.64 : 1,511.19 = 277.16 : x
  2. Step 2: Convert to fraction form
    1,007.64/1,511.19 = 277.16/x
  3. Step 3: Cross multiply
    1,007.64x = 1,511.19 × 277.16
  4. Step 4: Simplify right side
    1,007.64x = 418,833.86
  5. Step 5: Solve for x
    x = 418,833.86/1,007.64
  6. Step 6: Final answer
    x = 415.66

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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.